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Mekhanik [1.2K]
3 years ago
6

solve for x. 4.5(8-x)+36=102-2.5(3x+24) EXPLAIN PLEASE AND SHOW ALL WORK!!!GIVEN OUT 19 POINTS BECAUSE I REALLY NEED HELP!!!

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
8 0

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}
The answer is x = -7/2
Fudgin [204]3 years ago
5 0

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

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