Solve \( 2(4+3 x)=32 \)

To solve the equation \( 2(4+3x) = 32 \), start by simplifying both sides. First, distribute the 2 on the left side: \[ 2 \times 4 + 2 \times 3x = 32 \] This gives: \[ 8 + 6x = 32 \] Next, subtract 8 from both sides to isolate the term with \( x \): \[ 6x = 32 - 8 \] \[ 6x = 24 \] Now divide both sides by 6 to solve for \( x \): \[ x = \frac{24}{6} \] \[ x = 4 \] So, the solution to the equation is \( x = 4 \).