QuestionAugust 24, 2025

8. Solve the equation: -3(8-2x)=-6x+6(x+2)

8. Solve the equation: -3(8-2x)=-6x+6(x+2)
8. Solve the equation:
-3(8-2x)=-6x+6(x+2)

Solution
4.0(275 votes)

Answer

x = 6 Explanation 1. Distribute terms Distribute -3 in -3(8-2x) to get -24 + 6x. Distribute 6 in 6(x+2) to get 6x + 12. 2. Simplify both sides The equation becomes -24 + 6x = -6x + 6x + 12. Simplify the right side to -24 + 6x = 12. 3. Isolate variable term Add 24 to both sides: 6x = 36. 4. Solve for x Divide both sides by 6: x = \frac{36}{6}.

Explanation

1. Distribute terms<br /> Distribute $-3$ in $-3(8-2x)$ to get $-24 + 6x$. Distribute $6$ in $6(x+2)$ to get $6x + 12$.<br /><br />2. Simplify both sides<br /> The equation becomes $-24 + 6x = -6x + 6x + 12$. Simplify the right side to $-24 + 6x = 12$.<br /><br />3. Isolate variable term<br /> Add $24$ to both sides: $6x = 36$.<br /><br />4. Solve for $x$<br /> Divide both sides by $6$: $x = \frac{36}{6}$.
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