Answer
$(-\infty, \frac{12}{11})$
Refer to the attached image below for the graph.
Work Step by Step
Add $3x$ to both sides to have:
$\\5-3x+3x \ge 8x-7+3x
\\5 \ge 11x-7$
Add 7 to both sides to have:
$\\5+7 \ge 11x-7+7
\\12 \ge 11x$
Divide to both sides to have:
$\\\frac{12}{11} \ge x
\\x \le \frac{12}{11}$