#### Answer

$x=-4$

#### Work Step by Step

$23(x+4)=32(x+4)$ $\longrightarrow$distributive property
$23x+92=32x+128$ $\longrightarrow$addition property
$23x+92-23x-128=32x+128-23x-128$ $\longrightarrow$ simplify
$-36=9x$ $\longrightarrow$multiplication property
$-36\div9=9x\div9$ $\longrightarrow$simplify
$-4=x$