-4(x-2)=-(-2+x)

Sure, let's solve the equation step by step:

1. Distribute the -4 on the left side of the equation: -4*x + 8 = -(-2+x)
2. Simplify the right side of the equation: -4x + 8 = 2 - x
3. Move the x term from the right side to the left side by adding x to both sides: -4x + x + 8 = 2
4. Simplify the left side: -3x + 8 = 2
5. Move the 8 from the left side to the right side by subtracting 8 from both sides: -3x = 2 - 8
6. Simplify the right side: -3x = -6
7. Solve for x by dividing both sides by -3: x = -6 / -3
8. Simplify to find the solution: x = 2

So, the solution to the equation -4(x-2)=-(-2+x) is x = 2.