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.

\6x - 9x = -14 + 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.

\6x - 9x = -14 + 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 Using the *Solving Linear Equations* knowledge point $$ 6x - 9x = -14 + 8 $$ ## Combine like terms on both sides Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} (6 - 9)x &= -6 \ -3x &= -6 \end{aligned} $$ ## Isolate the variable x Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} x &= \frac{-6}{-3} \ x &= 2 \end{aligned} $$ 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. $6x - 9x = -14 + 8$ $x =$ 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given equation

Combine like terms on both sides

Isolate the variable x

Answer: