Distribute.

$2(x)+2(4.5)=32$

$2x+9=32\\ \quad\ -9\ \ -9\\ \quad \ \ \ 2x=23$

Subtract $9$ from both sides.

Divide by $2$.

$\frac{2\textit{x}}{2}=\frac{23}{2}$

$x=11.5$

$x=6$

Multiply both sides by $9$ and by $16$.