Hi There!
Solve: 9/2(8 - x) + 36 = 102 - 5/2(3x + 24)
Distribute: (9/2 * 8) + (9/2 * -x) + 36 = 102 + -15/2x + (-60)
Simplify: 36 + -9/2x + 36 = 102 + -15/2 - 60
Combine Like Terms: -9/2x + (36 + 36) = -15/2x + (-60 + 102)
Simplify: -9/2 + 72 = -15/2x + 42
Add 15/2x: -9/2x + 15/2x + 72 = -15/2x + 15/2x + 42
Simplify: 3x + 72 = 42
Subtract 72: 3x + 72 - 72 = 42 - 72
Simplify: 3x = -30
Divide by 3: 3x/3 = -30/3
Simplify: x = -10
Hope This Helps :)