solve the equation.

(8 - 2x = -8x + 14)

- (x = -1)
- (x = -\frac{3}{5})
- (x = \frac{3}{5})
- (x = 1)

Question

solve the equation.

(8 - 2x = -8x + 14)

- (x = -1)
- (x = -\frac{3}{5})
- (x = \frac{3}{5})
- (x = 1)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ] } ## Add 8x to both sides $$ \begin{aligned} 8 - 2x + 8x &= -8x + 14 + 8x \ 8 + 6x &= 14 \end{aligned} $$ ## Subtract 8 from both sides $$ \begin{aligned} 8 + 6x - 8 &= 14 - 8 \ 6x &= 6 \end{aligned} $$ ## Divide both sides by 6 $$ \begin{aligned} \frac{6x}{6} &= \frac{6}{6} \ x &= 1 \end{aligned} $$

(A) $x = -1$

(B) $x = -\frac{3}{5}$

(C) $x = \frac{3}{5}$

(D) $x = 1$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Add 8x to both sides

Subtract 8 from both sides

Divide both sides by 6

Answer: