Answer
x = 6
Work Step by Step
2[3x - (4x - 6)] = 5(x - 6)
Expand the left side of the equation:
2[3x - (4x - 6)] = 2(3x - 4x + 6) = 2(-x+6) = -2x +12
Expand the right side of the equation:
5(x - 6) = 5x - 30
Rewrite the equation:
-2x + 12 = 5x - 30
Subtract 12 from both sides:
-2x + 12 - 12 = 5x - 30 - 12
-2x = 5x - 42
Simplify
-7x = - 42
Divide both sides by -7:
x = 6
Check:
2[3x - (4x - 6)] = 5(x - 6)
2[3(6) - (4(6) - 6)] = 5((6) - 6)
2[18-18] = 0
0 = 0 --> TRUE
