diff --git a/.eslintrc b/.eslintrc
index 0f29493fbe..c910dcddbe 100644
--- a/.eslintrc
+++ b/.eslintrc
@@ -32,7 +32,6 @@
         "function-paren-newline": 0,
         "no-plusplus": 1,
         "no-param-reassign": 1,
-        "no-mixed-operators": 1,
         "no-restricted-syntax": [2, {
             "selector": "ObjectPattern",
             "message": "Object destructuring is not compatible with Node v4"
diff --git a/lib/rules/destructuring-assignment.js b/lib/rules/destructuring-assignment.js
index 4716b2aa04..dc3589ad77 100644
--- a/lib/rules/destructuring-assignment.js
+++ b/lib/rules/destructuring-assignment.js
@@ -37,7 +37,7 @@ module.exports = {
 
   create: Components.detect((context, components, utils) => {
     const configuration = context.options[0] || DEFAULT_OPTION;
-    const ignoreClassFields = context.options[1] && context.options[1].ignoreClassFields === true || false;
+    const ignoreClassFields = (context.options[1] && (context.options[1].ignoreClassFields === true)) || false;
 
     /**
      * @param {ASTNode} node We expect either an ArrowFunctionExpression,
diff --git a/lib/rules/forbid-foreign-prop-types.js b/lib/rules/forbid-foreign-prop-types.js
index 630e21a634..a13aa2b839 100644
--- a/lib/rules/forbid-foreign-prop-types.js
+++ b/lib/rules/forbid-foreign-prop-types.js
@@ -93,14 +93,14 @@ module.exports = {
     return {
       MemberExpression(node) {
         if (
-          node.property
+          (node.property
           && (
             !node.computed
             && node.property.type === 'Identifier'
             && node.property.name === 'propTypes'
             && !ast.isAssignmentLHS(node)
             && !isAllowedAssignment(node)
-          ) || (
+          )) || (
             (node.property.type === 'Literal' || node.property.type === 'JSXText')
             && node.property.value === 'propTypes'
             && !ast.isAssignmentLHS(node)
diff --git a/lib/rules/jsx-indent.js b/lib/rules/jsx-indent.js
index 9e11f60afa..d8a4f5f734 100644
--- a/lib/rules/jsx-indent.js
+++ b/lib/rules/jsx-indent.js
@@ -327,7 +327,7 @@ module.exports = {
         return;
       }
       // Use the parent in a list or an array
-      if (prevToken.type === 'JSXText' || prevToken.type === 'Punctuator' && prevToken.value === ',') {
+      if (prevToken.type === 'JSXText' || ((prevToken.type === 'Punctuator') && prevToken.value === ',')) {
         prevToken = sourceCode.getNodeByRangeIndex(prevToken.range[0]);
         prevToken = prevToken.type === 'Literal' || prevToken.type === 'JSXText' ? prevToken.parent : prevToken;
       // Use the first non-punctuator token in a conditional expression
diff --git a/lib/rules/jsx-max-depth.js b/lib/rules/jsx-max-depth.js
index 2afb94ff37..2fe87b81c2 100644
--- a/lib/rules/jsx-max-depth.js
+++ b/lib/rules/jsx-max-depth.js
@@ -46,7 +46,7 @@ module.exports = {
     }
 
     function hasJSX(node) {
-      return jsxUtil.isJSX(node) || isExpression(node) && jsxUtil.isJSX(node.expression);
+      return jsxUtil.isJSX(node) || (isExpression(node) && jsxUtil.isJSX(node.expression));
     }
 
     function isLeaf(node) {
@@ -87,10 +87,10 @@ module.exports = {
           if (has(refs[i], 'writeExpr')) {
             const writeExpr = refs[i].writeExpr;
 
-            return jsxUtil.isJSX(writeExpr)
-              && writeExpr
-              || (writeExpr && writeExpr.type === 'Identifier')
-              && findJSXElementOrFragment(variables, writeExpr.name);
+            return (jsxUtil.isJSX(writeExpr)
+              && writeExpr)
+              || ((writeExpr && writeExpr.type === 'Identifier')
+              && findJSXElementOrFragment(variables, writeExpr.name));
           }
         }
 
diff --git a/lib/rules/jsx-one-expression-per-line.js b/lib/rules/jsx-one-expression-per-line.js
index e0fb19d9da..13774cafa1 100644
--- a/lib/rules/jsx-one-expression-per-line.js
+++ b/lib/rules/jsx-one-expression-per-line.js
@@ -75,7 +75,7 @@ module.exports = {
         ) {
           if (
             options.allow === 'single-child'
-            || options.allow === 'literal' && (child.type === 'Literal' || child.type === 'JSXText')
+            || (options.allow === 'literal' && (child.type === 'Literal' || child.type === 'JSXText'))
           ) {
             return;
           }
diff --git a/lib/rules/no-set-state.js b/lib/rules/no-set-state.js
index 269cb6f6ed..2b5cafcbbe 100644
--- a/lib/rules/no-set-state.js
+++ b/lib/rules/no-set-state.js
@@ -64,7 +64,7 @@ module.exports = {
           return;
         }
         const component = components.get(utils.getParentComponent());
-        const setStateUsages = component && component.setStateUsages || [];
+        const setStateUsages = (component && component.setStateUsages) || [];
         setStateUsages.push(callee);
         components.set(node, {
           useSetState: true,
diff --git a/lib/rules/no-this-in-sfc.js b/lib/rules/no-this-in-sfc.js
index 54c1488414..32589639f9 100644
--- a/lib/rules/no-this-in-sfc.js
+++ b/lib/rules/no-this-in-sfc.js
@@ -32,7 +32,7 @@ module.exports = {
     MemberExpression(node) {
       if (node.object.type === 'ThisExpression') {
         const component = components.get(utils.getParentStatelessComponent());
-        if (!component || component.node && component.node.parent && component.node.parent.type === 'Property') {
+        if (!component || (component.node && component.node.parent && component.node.parent.type === 'Property')) {
           return;
         }
         context.report({
diff --git a/lib/rules/no-unknown-property.js b/lib/rules/no-unknown-property.js
index 352c8e24e1..ecbcf0541a 100644
--- a/lib/rules/no-unknown-property.js
+++ b/lib/rules/no-unknown-property.js
@@ -239,7 +239,7 @@ module.exports = {
 
   create(context) {
     function getIgnoreConfig() {
-      return context.options[0] && context.options[0].ignore || DEFAULTS.ignore;
+      return (context.options[0] && context.options[0].ignore) || DEFAULTS.ignore;
     }
 
     return {
diff --git a/lib/rules/no-unused-state.js b/lib/rules/no-unused-state.js
index bee19d1b78..f9c862e7bc 100644
--- a/lib/rules/no-unused-state.js
+++ b/lib/rules/no-unused-state.js
@@ -105,7 +105,7 @@ module.exports = {
         if (
           parent
           && parent.type === 'MethodDefinition' && (
-            parent.static && parent.key.name === 'getDerivedStateFromProps'
+            (parent.static && parent.key.name === 'getDerivedStateFromProps')
             || classMethods.indexOf(parent.key.name) !== -1
           )
           && parent.value.type === 'FunctionExpression'
diff --git a/lib/rules/prefer-read-only-props.js b/lib/rules/prefer-read-only-props.js
index 3a1faff94a..d0187d5e57 100644
--- a/lib/rules/prefer-read-only-props.js
+++ b/lib/rules/prefer-read-only-props.js
@@ -13,7 +13,7 @@ function isFlowPropertyType(node) {
 }
 
 function isCovariant(node) {
-  return node.variance && node.variance.kind === 'plus' || node.parent.parent.parent.id && node.parent.parent.parent.id.name === '$ReadOnly';
+  return (node.variance && (node.variance.kind === 'plus')) || (node.parent.parent.parent.id && (node.parent.parent.parent.id.name === '$ReadOnly'));
 }
 
 // ------------------------------------------------------------------------------
diff --git a/lib/rules/prefer-stateless-function.js b/lib/rules/prefer-stateless-function.js
index 2800de3e0d..641ffc704b 100644
--- a/lib/rules/prefer-stateless-function.js
+++ b/lib/rules/prefer-stateless-function.js
@@ -182,7 +182,7 @@ module.exports = {
       return properties.some((property) => {
         const name = astUtil.getPropertyName(property);
         const isDisplayName = name === 'displayName';
-        const isPropTypes = name === 'propTypes' || name === 'props' && property.typeAnnotation;
+        const isPropTypes = name === 'propTypes' || ((name === 'props') && property.typeAnnotation);
         const contextTypes = name === 'contextTypes';
         const defaultProps = name === 'defaultProps';
         const isUselessConstructor = property.kind === 'constructor'
diff --git a/lib/rules/self-closing-comp.js b/lib/rules/self-closing-comp.js
index 8c8472f683..d2220ca522 100644
--- a/lib/rules/self-closing-comp.js
+++ b/lib/rules/self-closing-comp.js
@@ -67,8 +67,8 @@ module.exports = {
     function isShouldBeSelfClosed(node) {
       const configuration = Object.assign({}, optionDefaults, context.options[0]);
       return (
-        configuration.component && isComponent(node)
-        || configuration.html && jsxUtil.isDOMComponent(node)
+        (configuration.component && isComponent(node))
+        || (configuration.html && jsxUtil.isDOMComponent(node))
       ) && !node.selfClosing && (childrenIsEmpty(node) || childrenIsMultilineSpaces(node));
     }
 
diff --git a/lib/rules/sort-comp.js b/lib/rules/sort-comp.js
index 7d1f725866..9d25f08d6b 100644
--- a/lib/rules/sort-comp.js
+++ b/lib/rules/sort-comp.js
@@ -354,9 +354,9 @@ module.exports = {
             // Comparing the same properties
             refIndexA === refIndexB
             // 1st property is placed before the 2nd one in reference and in current component
-            || refIndexA < refIndexB && classIndexA < classIndexB
+            || ((refIndexA < refIndexB) && (classIndexA < classIndexB))
             // 1st property is placed after the 2nd one in reference and in current component
-            || refIndexA > refIndexB && classIndexA > classIndexB
+            || ((refIndexA > refIndexB) && (classIndexA > classIndexB))
           ) {
             return {
               correct: true,
diff --git a/lib/rules/style-prop-object.js b/lib/rules/style-prop-object.js
index 0e6f968b18..e963f50398 100644
--- a/lib/rules/style-prop-object.js
+++ b/lib/rules/style-prop-object.js
@@ -38,7 +38,7 @@ module.exports = {
   },
 
   create(context) {
-    const allowed = new Set(context.options.length > 0 && context.options[0].allow || []);
+    const allowed = new Set(((context.options.length > 0) && context.options[0].allow) || []);
 
     /**
      * @param {ASTNode} expression An Identifier node
diff --git a/lib/util/propTypes.js b/lib/util/propTypes.js
index 1d32ea84c9..56cbbf0ab0 100644
--- a/lib/util/propTypes.js
+++ b/lib/util/propTypes.js
@@ -749,8 +749,8 @@ module.exports = function propTypesInstructions(context, components, utils) {
       componentNode = componentNode.parent;
     }
     const component = components.get(componentNode);
-    let declaredPropTypes = component && component.declaredPropTypes || {};
-    let ignorePropsValidation = component && component.ignorePropsValidation || false;
+    let declaredPropTypes = (component && component.declaredPropTypes) || {};
+    let ignorePropsValidation = (component && component.ignorePropsValidation) || false;
     switch (propTypes && propTypes.type) {
       case 'ObjectTypeAnnotation':
         ignorePropsValidation = declarePropTypesForObjectTypeAnnotation(propTypes, declaredPropTypes);
@@ -810,8 +810,8 @@ module.exports = function propTypesInstructions(context, components, utils) {
           let isUsedInPropTypes = false;
           let n = propTypes;
           while (n) {
-            if (n.type === 'AssignmentExpression' && propsUtil.isPropTypesDeclaration(n.left)
-              || (n.type === 'ClassProperty' || n.type === 'Property') && propsUtil.isPropTypesDeclaration(n)) {
+            if (((n.type === 'AssignmentExpression') && propsUtil.isPropTypesDeclaration(n.left))
+              || ((n.type === 'ClassProperty' || n.type === 'Property') && propsUtil.isPropTypesDeclaration(n))) {
               // Found a propType used inside of another propType. This is not considered usage, we'll still validate
               // this component.
               isUsedInPropTypes = true;
diff --git a/lib/util/usedPropTypes.js b/lib/util/usedPropTypes.js
index eb11698d4c..dc62c8b3ba 100644
--- a/lib/util/usedPropTypes.js
+++ b/lib/util/usedPropTypes.js
@@ -356,8 +356,8 @@ module.exports = function usedPropTypesInstructions(context, components, utils)
     }
 
     const component = components.get(utils.getParentComponent());
-    const usedPropTypes = component && component.usedPropTypes || [];
-    let ignoreUnusedPropTypesValidation = component && component.ignoreUnusedPropTypesValidation || false;
+    const usedPropTypes = (component && component.usedPropTypes) || [];
+    let ignoreUnusedPropTypesValidation = (component && component.ignoreUnusedPropTypesValidation) || false;
 
     switch (type) {
       case 'direct': {
@@ -419,7 +419,7 @@ module.exports = function usedPropTypesInstructions(context, components, utils)
 
     const destructuring = param && (
       param.type === 'ObjectPattern'
-      || param.type === 'AssignmentPattern' && param.left.type === 'ObjectPattern'
+      || ((param.type === 'AssignmentPattern') && (param.left.type === 'ObjectPattern'))
     );
 
     if (destructuring && (components.get(node) || components.get(node.parent))) {