#### Answer

$x=4$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
\dfrac{1}{4}x-\dfrac{5}{8}=\dfrac{3}{8}
$, is
\begin{array}{l}\require{cancel}
\dfrac{1}{4}x=\dfrac{3}{8}+\dfrac{5}{8}
\\\\
\dfrac{1}{4}x=\dfrac{3+5}{8}
\\\\
\dfrac{1}{4}x=\dfrac{8}{8}
\\\\
\dfrac{1}{4}x=1
\\\\
x=1(4)
\\\\
x=4
.\end{array}