Answer
x = -7/8
Work Step by Step
1. Given: -5(x + 1) + 3x + 2 = 6x + 4
2. Apply Distributive Property: -5x - 5 + 3x + 2 = 6x + 4
3. Add and subtract: 8x = -7
4. Divide: x = -7/8
5. Check: -5(-7/8 + 1) + 3(-7/8) + 2 = 6(-7/8) + 4
-5/4 = -5/4, so -7/8 is a solution.