diff --git a/lib/rules/no-extra-parens.js b/lib/rules/no-extra-parens.js
index 6c3198b5f02..340695ff5eb 100644
--- a/lib/rules/no-extra-parens.js
+++ b/lib/rules/no-extra-parens.js
@@ -973,7 +973,21 @@ module.exports = {
 
             SpreadElement: checkSpreadOperator,
             SpreadProperty: checkSpreadOperator,
-            ExperimentalSpreadProperty: checkSpreadOperator
+            ExperimentalSpreadProperty: checkSpreadOperator,
+
+            TemplateLiteral(node) {
+                node.expressions
+                    .filter(e => e && hasExcessParens(e))
+                    .forEach(report);
+            },
+
+            AssignmentPattern(node) {
+                const { right } = node;
+
+                if (right && hasExcessParens(right) && precedence(right) >= PRECEDENCE_OF_ASSIGNMENT_EXPR) {
+                    report(right);
+                }
+            }
         };
 
     }
diff --git a/tests/lib/rules/no-extra-parens.js b/tests/lib/rules/no-extra-parens.js
index 7be7d6e9e2d..4d3c7022a3f 100644
--- a/tests/lib/rules/no-extra-parens.js
+++ b/tests/lib/rules/no-extra-parens.js
@@ -1174,6 +1174,12 @@ ruleTester.run("no-extra-parens", rule, {
             "Identifier",
             1
         ),
+        invalid("let s = `${(v)}`", "let s = `${v}`", "Identifier"),
+        invalid("let s = `${(a, b)}`", "let s = `${a, b}`", "SequenceExpression"),
+        invalid("function foo(a = (b)) {}", "function foo(a = b) {}", "Identifier"),
+        invalid("const bar = (a = (b)) => a", "const bar = (a = b) => a", "Identifier"),
+        invalid("const [a = (b)] = []", "const [a = b] = []", "Identifier"),
+        invalid("const {a = (b)} = {}", "const {a = b} = {}", "Identifier"),
 
         // https://github.com/eslint/eslint/issues/11706 (also in valid[])
         {