solve the equation to find x.

\2(5x + 6) = 8(x - 5)\

\x = \underline{\quad\quad}\

Question

solve the equation to find x.

\2(5x + 6) = 8(x - 5)\

\x = \underline{\quad\quad}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Algebraic Simplification" ] } ## Expand both sides of the equation $$ \begin{aligned} 2(5x + 6) &= 8(x - 5) \ 10x + 12 &= 8x - 40 \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} 10x - 8x &= -40 - 12 \ 2x &= -52 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{-52}{2} \ x &= -26 \end{aligned} $$ Solve the equation to find x. $2(5x + 6) = 8(x - 5)$ $x =$ -26 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Expand both sides of the equation

Isolate the variable terms

Solve for x

Answer: