what is the solution to the linear equation?

(d - 10 - 2d + 7 = 8 + d - 10 - 3d)

* (d = -5)
* (d = -1)
* (d = 1)
* (d = 5)

Question

what is the solution to the linear equation?

(d - 10 - 2d + 7 = 8 + d - 10 - 3d)

* (d = -5)
* (d = -1)
* (d = 1)
* (d = 5)

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" ] } ## Combine like terms on both sides $$ \begin{aligned} (d - 2d) + (-10 + 7) &= (d - 3d) + (8 - 10) \ -d - 3 &= -2d - 2 \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} -d + 2d - 3 &= -2 \ d - 3 &= -2 \end{aligned} $$ ## Solve for d $$ \begin{aligned} d &= -2 + 3 \ d &= 1 \end{aligned} $$

(A) $d = -5$

(B) $d = -1$

(C) $d = 1$

(D) $d = 5$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Combine like terms on both sides

Isolate the variable terms

Solve for d

Answer: