Answer
Refer to the image below for the graph.
Work Step by Step
RECALL:
(1) The Multiplication Property of Inequality states that if a negative number is multiplied to each side of an inequality, the inequality changes direction/sense.
Thus, if $a \le b$ and $c\lt 0$, then $ac \ge bc$.
(2) If $a \lt b$, then $a-c \lt b-c$
Subtract $2$ to both sides of the inequality to obtain:
$\begin{array}{ccc}
&2-3x-2 &\le &5-2
\\&-3x &\le &3
\end{array}$
Multiply $-\frac{1}{3}$ on both sides of the inequality. Note that the inequality will change direction to its opposite.
$\begin{array}{ccc}
&-\frac{1}{3}(-3x) &\ge &-\frac{1}{3}(3)
\\&x &\ge &-1
\end{array}$
Thus, the solution set is $[-1, +\infty)$.
To graph this on a number line, plot a solid dot at $-1$ and then shade the region to its right.