QuestionAugust 25, 2025

What is the solution to this equation? 3(4x+6)=9x+12 A. x=10 B. x=-2 C. x=-10 D. x=2

What is the solution to this equation? 3(4x+6)=9x+12 A. x=10 B. x=-2 C. x=-10 D. x=2
What is the solution to this equation?
3(4x+6)=9x+12
A. x=10
B. x=-2
C. x=-10
D. x=2

Solution
3.9(130 votes)

Answer

B. x=-2 Explanation 1. Distribute the 3 Apply distribution: 3 \cdot 4x + 3 \cdot 6 = 12x + 18. 2. Simplify the equation The equation becomes 12x + 18 = 9x + 12. 3. Move terms involving x to one side Subtract 9x from both sides: 12x - 9x + 18 = 12. 4. Simplify further Simplify to 3x + 18 = 12. 5. Isolate x Subtract 18 from both sides: 3x = -6. 6. Solve for x Divide by 3: x = -2.

Explanation

1. Distribute the 3<br /> Apply distribution: $3 \cdot 4x + 3 \cdot 6 = 12x + 18$.<br />2. Simplify the equation<br /> The equation becomes $12x + 18 = 9x + 12$.<br />3. Move terms involving x to one side<br /> Subtract $9x$ from both sides: $12x - 9x + 18 = 12$.<br />4. Simplify further<br /> Simplify to $3x + 18 = 12$.<br />5. Isolate x<br /> Subtract 18 from both sides: $3x = -6$.<br />6. Solve for x<br /> Divide by 3: $x = -2$.
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