Answer
$\left\{-\frac{5}{3}, 3\right\}$
Work Step by Step
Divide 2 on both sides of the equation to obtain:
$|3x-2|=7$
RECALL:
$|x|=a \longrightarrow x=a \text{ or } x = -a$
Use the rule above to obtain:
$3x-2 = 7 \text{ or } 3x-2 = -7$
Solve each equation to obtain:
$3x = 7+2 \text{ or } 3x = -7 +2
\\3x = 9 \text{ or } 3x =-5
\\x = \frac{9}{3} \text{ or } x = \frac{-5}{3}
\\x=3 \text{ or } x = -\frac{5}{3}$
Thus, the solution set is $\left\{-\frac{5}{3}, 3\right\}$.
