solve using the addition principle. dont forget to perform a

(x + \frac{5}{12} = -\frac{1}{6})

Question

solve using the addition principle. dont forget to perform a

(x + \frac{5}{12} = -\frac{1}{6})

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Simplification", "Fraction Reduction" ], "new_concepts": [ "Addition Principle", "Linear Equations" ], "current_concepts": [ "Addition Principle", "Linear Equations", "Algebraic Simplification", "Fraction Reduction" ] } ## Isolate the variable using the addition principle $$ \begin{aligned} x + \frac{5}{12} &= -\frac{1}{6} \ x &= -\frac{1}{6} - \frac{5}{12} \end{aligned} $$ ## Find a common denominator and combine the fractions $$ \begin{aligned} x &= -\frac{2}{12} - \frac{5}{12} \ x &= \frac{-2 - 5}{12} \ x &= -\frac{7}{12} \end{aligned} $$ $x = -\frac{7}{12}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Isolate the variable using the addition principle

Find a common denominator and combine the fractions

Answer: