Answer
$x=\frac{-1}{2}$
Work Step by Step
$2x+\frac{1}{8}=x-\frac{3}{8}$
Subtracting $x$ from both sides, $2x-x+\frac{1}{8}=x-x-\frac{3}{8}$
$x+\frac{1}{8}=-\frac{3}{8}$.
Subtracting $\frac{1}{8}$ from both sides, $x+\frac{1}{8}-\frac{1}{8}=-\frac{3}{8}-\frac{1}{8}$
$x=-\frac{3}{8}-\frac{1}{8}$
$x=\frac{-3-1}{8}$
$x=\frac{-4}{8}$
$x=\frac{-1}{2}$