Answer:
x = -2
Explanation:
4.5(8-x)+22 = 102 - 2.5(5x+24)
4.5(-x+8) +22 = -2.5 (5x+24) +102
(-4.5x+4.5 x 8) +22 = -(2.5 x 5x + 2.5 x 24) + 102
(-4.5x + 36) + 22 = -(12.5x + 60) + 102
-4.5x + 36 + 22 = -12.5x - 60 + 102
-4.5x + 58 = -12.5x + 42
(4.5x + 58) + (-58 + 12.5x) = (-12.5x + 42) + (-58 + 12.5x)
(-4.5x+ 58) + (12.5x - 58) = (-12.5x + 42) + ( 12.5x - 58 )
-4.5x + 58 + 12.5x - 58 = -12.5x + 42 + 12.5x - 58
-4.5x + 12.5x + 58 - 58 = -12.5x + 12.5x + 42 - 58
8x = -16
8x/8 = -16
X = -2