Answer
$x\leq 7$
Please see image
Work Step by Step
$ 5-8x\leq 19-10x\qquad$ ...add $10x$ to each side of the inequality.
$ 5-8x+10x\leq 19-10x+10x\qquad$ ...simplify.
$ 5+2x\leq 19\qquad$ ...add $-5$ to each side of the inequality.
$ 5+2x-5\leq 19-5\qquad$ ...simplify.
$ 2x\leq 14\qquad$ ...divide with $2$.
$x\leq 7$
The solutions of the given inequality are all real numbers less or equal to $7$.
Smaller numbers are to the left of $7$.
Use a solid dot in the graph to indicate $7$ is a solution.