8) \frac{x + 2}{2} = \frac{2x + 4}{9}

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Solving Proportions", "Linear Equations" ], "current_concepts": [ "Solving Proportions", "Linear Equations" ] } ## Cross-multiply to eliminate fractions $$ 9(x + 2) = 2(2x + 4) $$ ## Expand both sides of the equation $$ 9x + 18 = 4x + 8 $$ ## Isolate the variable x $$ \begin{aligned} 5x + 18 &= 8 \ 5x &= -10 \ x &= -2 \end{aligned} $$ The solution to the equation $\frac{x + 2}{2} = \frac{2x + 4}{9}$ is $x = -2$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Proportions" ] }

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Question

Explanation:

Cross-multiply to eliminate fractions

Expand both sides of the equation

Isolate the variable x

Answer: