Answer
x = -6
Work Step by Step
1. Given: 4(x + 2) - 8x - 5 = -3x + 9 - 2(x + 6)
2. Apply Distributive Property: 4x + 8 - 8x - 5 = -3x + 9 - 2x - 12
3. Add and subtract: x = -6
4. Check: 4(-6 + 2) - 8(-6) - 5 = -3(-6) + 9 - 2(-6 + 6)
27 = 27, so -6 is a solution of the equation.