Answer:
x = -10
Step-by-step explanation:
(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)
Multiply both sides by 2.
9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)
Distribute on both sides.
72 - 9x + 72 = 204 - 15x - 120
Combine like terms on each side.
144 - 9x = 84 - 15x
Subtract 144 from both sides. Add 15x to both sides.
6x = -60
Divide both sides by 6.
x = -10
