2\left(x+4\right)-2=2x-7-\left(x-4\right)

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

1. Distribute the 2 in the first term on the left side of the equation: 2x + 8 - 2 = 2x - 7 - (x - 4)
2. Simplify the left side of the equation: 2x + 6 = 2x - 7 - (x - 4)
3. Distribute the negative sign on the right side of the equation: 2x + 6 = 2x - 7 - x + 4
4. Simplify the right side of the equation: 2x + 6 = x - 3
5. Subtract x from both sides of the equation: x + 6 = -3
6. Subtract 6 from both sides of the equation: x = -9

So, the solution to the equation 2(x+4)-2=2x-7-(x-4) is x = -9.