#### Answer

x = 4

#### Work Step by Step

1. Given: -2x - 3(4 - 2x) = 2(x - 3) + 2
2. Apply Distributive Property: -2x - 12 + 6x = 2x - 6 + 2
3. Add and subtract: 2x = 8
4. Divide: x = 4
5. Check: -2(4) - 3(4 - 2(4)) = 2(4 - 3) + 2
4 = 4 , so 4 is a solution.