Respuesta :

The Answer to this question is X= -10

4.5(8-x)+36=102-2.5(3x+24)

36-4.5x+36=102-7.5x-60

72-4.5x=42-7.5x

-4.5+7.5x=42-72

8x=30

x=-10

Hope this Helps and There the Work that got you the answer

jukkaduei

[tex]4.5(8 - x) + 36 = 102 - 2.5(3x + 24) \\ \frac{9}{2} (8 - x) + 36 = 102 - \frac{5}{2} (3x + 24) \\ 2( \frac{9}{2} (8 - x) + 36) = 2(102 - \frac{5}{2} (3x + 24)) \\ 9(8 - x) + 72 = 204 - 5(3x + 24) \\ (72 - 9x) + 72 = 204 - (15x + 120) \\ 72 - 9x + 72 = 204 - 15x - 120 \\ 9x + (72 - 72) = - 15x + (204 - 120) \\ 9x = - 15x - 84 \\ 9x + 15x = - 84 \\ 24x = - 84 \\ x = - \frac{84}{24} \\ x = - \frac{7}{2}[/tex]
The answer is x = -7/2
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