Answer
$x=2$
Work Step by Step
Multiplying both sides by the $LCD=
x
,$ then the solution to the given equation, $
4+\dfrac{8}{x}=8
,$ is
\begin{array}{l}\require{cancel}
4x+8=8x
\\\\
4x-8x=-8
\\\\
-4x=-8
\\\\
x=\dfrac{-8}{-4}
\\\\
x=2
.\end{array}