Answer
$(-\infty, -1)$
Refer to the image below for the graph.
Work Step by Step
Add $2x$ to both sides of the inequality:
$3-2x+2x\gt 5+2x
\\3 \gt 5+2x$
Subtract $5$ to both sides of the inequality:
$3-5 \gt 5+2x-5
\\-2 \gt 2x$
Divide $2$ to both sides of the inequality:
$\frac{-2}{2} \gt \frac{2x}{2}
\\-1 \gt x$
This inequality is equivalent to:
$x \lt -1$
Thus, the solution set is $(-\infty, -1)$.
To graph the solution set, plot a hole at $-1$ then shade the region to its left.