solve $4 |x + 1| - 8 = 12$.

(separate answers with a comma)

Question

solve $4 |x + 1| - 8 = 12$.

(separate answers with a comma)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Absolute Value Equations" ], "new_concepts": [], "current_concepts": [ "Absolute Value Equations" ] } ## Isolate the absolute value expression $$ \begin{aligned} 4|x + 1| - 8 &= 12 \ 4|x + 1| &= 20 \ |x + 1| &= 5 \end{aligned} $$ ## Set up and solve the two cases $$ \begin{aligned} x + 1 &= 5 \quad \text{or} \quad x + 1 = -5 \ x &= 4 \quad \text{or} \quad x = -6 \end{aligned} $$ Solve $4|x + 1| - 8 = 12$. $4, -6$ (separate answers with a comma) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Absolute Value Equations" ] }

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Question

Explanation:

Isolate the absolute value expression

Set up and solve the two cases

Answer: