Answer
x = -2
Work Step by Step
4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)
Expand {2x - [4(x - 3) - 5]}:
2x - [(4x - 12) - 5]
2x - [4x -12 - 5]
2x - (4x - 17)
2x - 4x + 17
-2x + 17
Expand 2(x - 6) = 2x - 12
Rewrite the equation:
4x + 13 - (-2x + 17 ) = 2x - 12
4x + 13 +2x - 17 = 2x - 12
6x - 4 = 2x - 12
Add 4 to both sides:
6x - 4 +4 = 2x - 12 + 4
6x = 2x - 8
4x = -8
Divide both sides by 4:
x = -2
