solve the following linear equation using equivalent equations to isolate the variable. express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

\-2x + 5x = 16 + 8\

$x =$

Question

solve the following linear equation using equivalent equations to isolate the variable. express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

\-2x + 5x = 16 + 8\

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Equations" ], "new_concepts": [], "current_concepts": [ "Solving Linear Equations", "Combining Like Terms" ] } ## Identify the given equation We are given the following linear equation to solve for $x$: $$-2x + 5x = 16 + 8$$ ## Combine like terms on both sides Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} (-2 + 5)x &= 24 \ 3x &= 24 \end{aligned} $$ ## Isolate the variable Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} x &= \frac{24}{3} \ x &= 8 \end{aligned} $$ Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $-2x + 5x = 16 + 8$ $x =$ 8 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Equations" ] }

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Question

Explanation:

Identify the given equation

Combine like terms on both sides

Isolate the variable

Answer: