Given: $5x-2y =2y-3x $
$$ \begin{aligned}
\text{Quantity A} && \text{Quantity B} \\
x && y
\end{aligned}$$
$\bigcirc $ Quantity A is bigger
$\bigcirc $ Quantity B is bigger
$\bigcirc $ Two quantities are equal
$\bigcirc $ The relationship cannot be determined for the information given
The answer is $B$ according to GRE book. Simplifying I get that $2x=y$. I letting $x=0$ get $y=0$. Also let $x=1$ get $y=2$. I believe it is D but need to double check. I have read that any number in GRE is real.
$5x-2y=2y-3x$, so $8x=4y$, so $y=2x$. There are a few possibilities. For example, $x=1$ and $y=2$, or $x=-1$ and $y=-2$, or $x=y=0$. If all we know is that $x,y$ are real, then it is not possible to know which is bigger.