Answer
$x\in \mathbf{R}$
Work Step by Step
$|5x-2|=|2-5x|$
$5x-2=2-5x$ $\quad$ or $\quad$ $5x-2=-(2-5x)$
$5x+5x=2-2$ $\quad$ or $\quad$ $5x-2=-2+5x$
$10x=0~~~~~~~~~~~$ $\quad\quad$ or $\quad\quad$ $5x-5x=-2+2$
$x=0~~~~~~~~~~~~~~~$ $\quad\quad$ or $\quad\quad$ $0=0$
$~~~~~~~~~~~~~~~~~~~~~~~~~~~x\in \mathbf{R}$
