To solve the equation \( 4(3x + 2) = 32 \), follow these steps:
-
Distribute the 4 on the left side: \[ 4 \cdot 3x + 4 \cdot 2 = 32 \] which simplifies to: \[ 12x + 8 = 32 \]
-
Subtract 8 from both sides: \[ 12x + 8 - 8 = 32 - 8 \] This gives: \[ 12x = 24 \]
-
Now, divide both sides by 12: \[ x = \frac{24}{12} \] Simplifying this, we find: \[ x = 2 \]
So, the value of \( x \) is \( 2 \).