solve for (x).

(6(x+5) = -7(2x-6) + 5x)

simplify your answer as much as possible.

(x = )

Question

solve for (x).

(6(x+5) = -7(2x-6) + 5x)

simplify your answer as much as possible.

(x = )

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Linear Equation Solutions" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Linear Equation Solutions" ] } ## Apply the distributive property $$ \begin{aligned} 6(x+5) &= 6x + 30 \ -7(2x-6) + 5x &= -14x + 42 + 5x \end{aligned} $$ ## Combine like terms $$ \begin{aligned} 6x + 30 &= (-14x + 5x) + 42 \ 6x + 30 &= -9x + 42 \end{aligned} $$ ## Solve for x $$ \begin{aligned} 6x + 9x &= 42 - 30 \ 15x &= 12 \ x &= \frac{12}{15} \ x &= \frac{4}{5} \end{aligned} $$ Solve for $x$. $6(x+5)=-7(2x-6)+5x$ Simplify your answer as much as possible. $x =$ $\frac{4}{5}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Solutions" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Combine like terms

Solve for x

Answer: