solve the equation to find $x$.

\5(2x + 4) = 8(x - 3)\

$x = $

Question

solve the equation to find $x$.

\5(2x + 4) = 8(x - 3)\

$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", "Distributive Property" ] } ## Expand both sides of the equation $$ \begin{aligned} 5(2x + 4) &= 8(x - 3) \ 10x + 20 &= 8x - 24 \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} 10x - 8x &= -24 - 20 \ 2x &= -44 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{-44}{2} \ x &= -22 \end{aligned} $$ Solve the equation to find $x$. $$5(2x+4) = 8(x-3)$$ $x =$ -22 { "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 terms

Solve for x

Answer: