2.7 module 2 post-test

solve the equation: $6x - 10 = 2x + 14$

Question

2.7 module 2 post-test

solve the equation: $6x - 10 = 2x + 14$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Equations", "Linear Equations" ] } ## Isolate the variable terms Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 6x - 10 &= 2x + 14 \ 6x - 2x - 10 &= 14 \ 4x - 10 &= 14 \end{aligned} $$ ## Isolate the constant terms Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 4x &= 14 + 10 \ 4x &= 24 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} x &= \frac{24}{4} \ x &= 6 \end{aligned} $$ $x = 6$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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Explanation:

Isolate the variable terms

Isolate the constant terms

Solve for x

Answer: