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24 votes
24 votes
1. Solve for x. Show each step to the solution.

4.5(8 – x) + 22 = 102 – 2.5(5x + 24)
pls halp

User Ibab
by
2.5k points

2 Answers

19 votes
19 votes

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

User Lee Dale
by
3.1k points
10 votes
10 votes
Your answer is -2 hope this helps
User CarlJ
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2.8k points