#### Answer

x = -1

#### Work Step by Step

1. Given: 2[x - (2x + 4) + 3] = 2(x + 1)
2. Apply Distributive Property: 2[x - 2x - 4 + 3] = 2x + 2,
2x - 4x - 8 + 6 = 2x + 2
3. Add and subtract: -4x = 4
4. Divide: x = -1
5. Check: 2[-1 - (2(-1) + 4) + 3] = 2(-1 + 1)
0 = 0, so -1 is a solution of the equation.