Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 283: 16

{$-\dfrac{5}{3},3$}

Given: $2|3x-2|=14$ This can also be written as: $|3x-2|=7$ As per definition of absolute value, we have $3x-2=7$ and $3x-2=-7$ Thus, $3x=9 \implies x=3$ and $3x=-5 \implies x=-\dfrac{5}{3}$ Hence, {$-\dfrac{5}{3},3$}