Answer
x = 7
Work Step by Step
1. Given: -[2x - (5x + 2)] = 2 + (2x + 7)
2. Apply Distributive Property: -(2x - 5x - 2) = 2 + 2x + 7
-2x + 5x + 2 = 2 + 2x + 7
3. Add and subtract: x = 7
4. Check: -[2*7 - (5*7 + 2)] = 2 + (2*7 + 7)
23 = 23, so 7 is a solution of the equation.