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Solve for x. Show each step and explain.
4.5(8-x)+36=102-2.5(3x+24)

1 Answer

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Answer: x= -10

Explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

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

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

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User Dave Stallberg
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