Solve for x

Question

. 

4(3x + 2) = 32
 

Answer 1

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

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

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

3. Divide both sides by 12 to solve for \(x\): \[ x = \frac{24}{12} \] This simplifies to: \[ x = 2 \]

Thus, the solution for \(x\) is \(\boxed{2}\).