Answer
$x\leq-2$
Please see image
Work Step by Step
$ x-3\leq-5\qquad$ ...add $3$ to each side of the inequality.
$ x-3+3\leq-5+3\qquad$ ...simplify.
$x\leq-2$
The solutions of the given inequality are all real numbers less or equal to $-2$..
Smaller numbers are to the left of $-2$.
Use a solid dot in the graph to indicate $-2$ is a solution.