Answer
{$-2,\dfrac{10}{3}$}
Work Step by Step
Since, $|3x-2|=8$
Apply the definition of Absolute value.
We have $3x-2=8$ and $3x-2=-8$
This implies that $3x=10$ and $3x=-6$
Thus, $x=\dfrac{10}{3}$ and $x=-2$
Solution set is $x=${$-2,\dfrac{10}{3}$}