To solve the equation \( 4(3x + 2) = 32 \), follow these steps:
-
Divide both sides by 4 to simplify: \[ 3x + 2 = \frac{32}{4} \]
This simplifies to: \[ 3x + 2 = 8 \]
-
Subtract 2 from both sides: \[ 3x = 8 - 2 \] \[ 3x = 6 \]
-
Divide both sides by 3 to isolate \( x \): \[ x = \frac{6}{3} \] \[ x = 2 \]
Thus, the solution is: \[ \boxed{2} \]