To solve the equation \( 4(2x + 3) = 44 \), follow these steps:
-
Distribute the 4: \[ 4 \cdot 2x + 4 \cdot 3 = 44 \] This simplifies to: \[ 8x + 12 = 44 \]
-
Subtract 12 from both sides: \[ 8x + 12 - 12 = 44 - 12 \] This simplifies to: \[ 8x = 32 \]
-
Divide both sides by 8: \[ x = \frac{32}{8} \] This simplifies to: \[ x = 4 \]
Therefore, the solution to the equation is \( \boxed{4} \).