Answer
$x=\dfrac{2}{5}$
Work Step by Step
The given equation, $
|5x-2|=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
5x-2=0
.\end{array}
Using the properties of equality, the solution to the equation above is
\begin{array}{l}\require{cancel}
5x=2
\\\\
x=\dfrac{2}{5}
.\end{array}