Answer
$x=-.2$ and $x=1$
Work Step by Step
We are given that $|5x-2|=3$.
Therefore, $5x-2=3$ and $5x-2=-3$
We can solve each equation to find the solutions.
For $5x-2=3$, first add 2 to both sides.
$5x=5$
Divide both sides by 5.
$x=1$
For $5x-2=-3$, first add 2 to both sides.
$5x=-1$
Divide both sides by 5.
$x=-.2$
