QuestionAugust 25, 2025

-12(x-12)=-9(1+7x) -3 3 o No solution

-12(x-12)=-9(1+7x) -3 3 o No solution
-12(x-12)=-9(1+7x) -3 3 o No solution

Solution
4.2(242 votes)

Answer

-3 Explanation 1. Expand both sides Distribute -12 on the left: -12x + 144. Distribute -9 on the right: -9 - 63x. 2. Simplify equation Combine like terms: -12x + 144 = -9 - 63x. 3. Move variables to one side Add 63x to both sides: 51x + 144 = -9. 4. Isolate variable term Subtract 144 from both sides: 51x = -153. 5. Solve for x Divide by 51: x = \frac{-153}{51} = -3.

Explanation

1. Expand both sides<br /> Distribute $-12$ on the left: $-12x + 144$. Distribute $-9$ on the right: $-9 - 63x$.<br />2. Simplify equation<br /> Combine like terms: $-12x + 144 = -9 - 63x$.<br />3. Move variables to one side<br /> Add $63x$ to both sides: $51x + 144 = -9$.<br />4. Isolate variable term<br /> Subtract $144$ from both sides: $51x = -153$.<br />5. Solve for x<br /> Divide by $51$: $x = \frac{-153}{51} = -3$.
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