Question

I NEED HELP ON THIS CONSTRUCTED RESPONSE! :(

Answer 1

x = -10

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