Answer
$ x=-3$
Work Step by Step
The given equation is
$\Rightarrow 8x+12=4x$
Add $-12-4x$ to each side.
$\Rightarrow 8x+12-12-4x=4x-12-4x$
Add like terms.
$\Rightarrow 4x=-12$
Divide each side by $4$.
$\Rightarrow \frac{4x}{4}=-\frac{12}{4}$
Simplify.
$\Rightarrow x=-3$
Check $x=-3$.
$\Rightarrow 8(-3)+12=4(-3)$
$\Rightarrow -24+12=-12$
$\Rightarrow -12=-12$
True.