Answer
$8$
Work Step by Step
Use the limit properties:
$(1) \ \lim\limits_{x \to a} l(x)=l (a) \\ (2) \lim\limits_{x \to a} (px+q)=\lim\limits_{x \to a} p(x)+ \lim\limits_{x \to a} q$
where $a$ is a constant.
$\lim\limits_{x \to 2} (3x+2) = \lim\limits_{x \to 2} (3x) +\lim\limits_{x \to 2} (2) \\=3(2)+2\\=6+2\\=8$