###### Example3.1.22

Solve for \(x\) in \(-2-2(2x+1)\gt4-(3-x)\text{.}\) Write the solution set in both set-builder notation and interval notation.

Solve for \(x\) in \(-2-2(2x+1)\gt4-(3-x)\text{.}\) Write the solution set in both set-builder notation and interval notation.