what is the value of $x$ in the equation $2(x-3)+9=3(x+1)+x$?

$x = -3$
$x = -1$
$x = 0$
$x = 3$

Question

what is the value of $x$ in the equation $2(x-3)+9=3(x+1)+x$?

$x = -3$
$x = -1$
$x = 0$
$x = 3$

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" ] } ## Expand both sides of the equation $$ \begin{aligned} 2(x-3)+9 &= 3(x+1)+x \ 2x - 6 + 9 &= 3x + 3 + x \end{aligned} $$ ## Simplify by combining like terms $$ \begin{aligned} 2x + 3 &= 4x + 3 \end{aligned} $$ ## Solve for x using properties of equality $$ \begin{aligned} 3 - 3 &= 4x - 2x \ 0 &= 2x \ x &= 0 \end{aligned} $$

$x = -3$

$x = -1$

$x = 0$

$x = 3$

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

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QUESTION IMAGE

Question

Explanation:

Expand both sides of the equation

Simplify by combining like terms

Solve for x using properties of equality

Answer: