QuestionFebruary 2, 2026

1) -3(x+8)=2(x+3)+10x

1) -3(x+8)=2(x+3)+10x
1) -3(x+8)=2(x+3)+10x

Solution
4.6(244 votes)

Answer

x = -2 Explanation 1. Distribute terms Distribute -3 on the left: -3x - 24. Distribute 2 on the right: 2x + 6. 2. Combine like terms Combine terms on the right: 2x + 10x + 6 = 12x + 6. 3. Set equation Equation becomes -3x - 24 = 12x + 6. 4. Move terms Add 3x to both sides: -24 = 15x + 6. 5. Isolate variable Subtract 6 from both sides: -30 = 15x. 6. Solve for x Divide by 15: x = -2.

Explanation

1. Distribute terms<br /> Distribute $-3$ on the left: $-3x - 24$. Distribute $2$ on the right: $2x + 6$.<br />2. Combine like terms<br /> Combine terms on the right: $2x + 10x + 6 = 12x + 6$.<br />3. Set equation<br /> Equation becomes $-3x - 24 = 12x + 6$.<br />4. Move terms<br /> Add $3x$ to both sides: $-24 = 15x + 6$.<br />5. Isolate variable<br /> Subtract $6$ from both sides: $-30 = 15x$.<br />6. Solve for $x$<br /> Divide by $15$: $x = -2$.
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