solve the equation to find x.

\3(3x + 5) = 7(x + 4)\

\x = \

Question

solve the equation to find x.

\3(3x + 5) = 7(x + 4)\

\x = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Algebraic Simplification" ] } ## Expand both sides of the equation $$ \begin{aligned} 3(3x + 5) &= 9x + 15 \ 7(x + 4) &= 7x + 28 \ 9x + 15 &= 7x + 28 \end{aligned} $$ ## Isolate the variable term $$ \begin{aligned} 9x - 7x &= 28 - 15 \ 2x &= 13 \end{aligned} $$ ## Solve for x $$ x = \frac{13}{2} $$ Solve the equation to find x. $3(3x+5) = 7(x+4)$ $x =$ $\frac{13}{2}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Expand both sides of the equation

Isolate the variable term

Solve for x

Answer: