Question
Solve Multi-Step Linear Equations Practice
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Question
Solve for x
.
4(3x+2)=32
(1 point)
x=
Answers
GPT-4o mini
To solve the equation \( 4(3x + 2) = 32 \):
1. Start by distributing the \( 4 \) on the left side of the equation:
\[
4 \cdot 3x + 4 \cdot 2 = 32
\]
This simplifies to:
\[
12x + 8 = 32
\]
2. Next, isolate the term with \( x \) by subtracting \( 8 \) from both sides:
\[
12x + 8 - 8 = 32 - 8
\]
This simplifies to:
\[
12x = 24
\]
3. Now, solve for \( x \) by dividing both sides by \( 12 \):
\[
x = \frac{24}{12}
\]
This simplifies to:
\[
x = 2
\]
Therefore, the solution is:
\[
\boxed{2}
\]
1. Start by distributing the \( 4 \) on the left side of the equation:
\[
4 \cdot 3x + 4 \cdot 2 = 32
\]
This simplifies to:
\[
12x + 8 = 32
\]
2. Next, isolate the term with \( x \) by subtracting \( 8 \) from both sides:
\[
12x + 8 - 8 = 32 - 8
\]
This simplifies to:
\[
12x = 24
\]
3. Now, solve for \( x \) by dividing both sides by \( 12 \):
\[
x = \frac{24}{12}
\]
This simplifies to:
\[
x = 2
\]
Therefore, the solution is:
\[
\boxed{2}
\]