3(2 - x) - 5(x - 2) = x - 2(3 - x)

Sure, let's solve this step by step:

1. First, distribute the numbers outside the parentheses: 32 - 3x - 5x + 52 = x - 23 + 2x

2. This simplifies to: 6 - 3x - 5x + 10 = x - 6 + 2x

3. Combine like terms: -8x + 16 = 3x - 6

4. Move all terms involving x to one side of the equation and constant terms to the other side: -8x - 3x = -6 - 16

5. This simplifies to: -11x = -22

6. Finally, solve for x by dividing both sides by -11: x = 2

So, the solution to the equation 3(2 - x) - 5(x - 2) = x - 2(3 - x) is x = 2.