Question

Solve for x.
4(3x + 2) = 32
x = __

Answer 1

are you sure this is correct

Answer 2

To solve for \( x \) in the equation \( 4(3x + 2) = 32 \), follow these steps:

1. First, distribute the 4 on the left side of the equation:
\[
4 \cdot 3x + 4 \cdot 2 = 32
\]
This simplifies to:
\[
12x + 8 = 32
\]

2. Next, subtract 8 from both sides to isolate the term with \( x \):
\[
12x + 8 - 8 = 32 - 8
\]
This simplifies to:
\[
12x = 24
\]

3. Finally, divide both sides by 12 to solve for \( x \):
\[
x = \frac{24}{12} = 2
\]

Thus, the solution is:
\[
x = 2
\]

Answer 3

Yes, let's go through the steps again to confirm the solution is correct.

We start with the original equation:

\[
4(3x + 2) = 32
\]

1. **Distributing the 4**:
\[
4 \cdot 3x + 4 \cdot 2 = 32
\]
This gives us:
\[
12x + 8 = 32
\]

2. **Subtracting 8 from both sides**:
\[
12x + 8 - 8 = 32 - 8
\]
Simplifying this results in:
\[
12x = 24
\]

3. **Dividing both sides by 12**:
\[
x = \frac{24}{12} = 2
\]

So the final answer is indeed \( x = 2 \). This solution is correct.