solve for x in the following equation:

(5x - 4 + 2x = 3x + 8 + 7x)

a.) (x = -3)

b.) (x = -4)

c.) (x = 1)

d.) (x = 6)

Question

solve for x in the following equation:

(5x - 4 + 2x = 3x + 8 + 7x)

a.) (x = -3)

b.) (x = -4)

c.) (x = 1)

d.) (x = 6)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Combining Like Terms", "Linear Equation Applications" ], "new_concepts": [], "current_concepts": [ "Combining Like Terms", "Linear Equation Applications" ] } ## Simplify both sides of the equation $$ \begin{aligned} 5x - 4 + 2x &= 3x + 8 + 7x \ (5x + 2x) - 4 &= (3x + 7x) + 8 \ 7x - 4 &= 10x + 8 \end{aligned} $$ ## Isolate the variable x $$ \begin{aligned} 7x - 10x &= 8 + 4 \ -3x &= 12 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{12}{-3} \ x &= -4 \end{aligned} $$

a.) $x = -3$

b.) $x = -4$

c.) $x = 1$

d.) $x = 6$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Combining Like Terms" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify both sides of the equation

Isolate the variable x

Solve for x

Answer: