Answer
The solution is $\Big(-\infty,\dfrac{5}{2}\Big)$
Work Step by Step
$0\lt5-2x$
Take $-2x$ to the left side of the inequality:
$2x\lt5$
Take the $2$ to divide the right side:
$x\lt\dfrac{5}{2}$
Express using interval notation:
The solution is $\Big(-\infty,\dfrac{5}{2}\Big)$