$[-1, \infty)$ Refer to the graph below.
Work Step by Step
By subtracting $2$ to both sides we get $$ 2-3x\leq 5 \Longrightarrow 2-3x-2\leq 5-2\Longrightarrow -3x\leq 3 .$$ Now, by dividing both sides by $-3$, we have $x\geq -1$. (Note the the inequality symbol will change because a negative number was divided to both sides of the inequality.) In terms of intervals, $x\in [-1,\infty)$. To graph, plot a solid dot at $x=-1$ then shade the region to its right. See the graph below.