Chapter 1 - Solving Linear Equations - 1.3 - Solving Equations with Variables on Both Sides - Exercises - Page 23: 1

The equation $-2(4-x)=2x+8$ is not an identity. According to the given equation, $-8=8$ which is not possible.

The given equation is $-2(4-x)=2x+8$ Using distributive property, we get $-8+2x=2x+8$ Subtracting $2x$ from both sides, we get $-8=8$ which is not possible. So, the given equation is not an identity.