Question
Solve Multi-Step Linear Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Solve for x
.
4(3x+2)=32
(1 point)
x=
Remaining Attempts : 3
Answers
GPT-4o mini
To solve the equation \(4(3x + 2) = 32\), follow these steps:
1. Distribute the 4 on the left side of the equation:
\[
4 \cdot 3x + 4 \cdot 2 = 32 \implies 12x + 8 = 32
\]
2. Subtract 8 from both sides to isolate the term with \(x\):
\[
12x + 8 - 8 = 32 - 8 \implies 12x = 24
\]
3. Divide both sides by 12 to solve for \(x\):
\[
x = \frac{24}{12} \implies x = 2
\]
Therefore, the solution is:
\[
\boxed{2}
\]
1. Distribute the 4 on the left side of the equation:
\[
4 \cdot 3x + 4 \cdot 2 = 32 \implies 12x + 8 = 32
\]
2. Subtract 8 from both sides to isolate the term with \(x\):
\[
12x + 8 - 8 = 32 - 8 \implies 12x = 24
\]
3. Divide both sides by 12 to solve for \(x\):
\[
x = \frac{24}{12} \implies x = 2
\]
Therefore, the solution is:
\[
\boxed{2}
\]