Answer:
[tex]\large\boxed{D.\ -\dfrac{4}{3}<x<\dfrac{10}{3}}[/tex]
Step-by-step explanation:
[tex]2|3x-3|-6<8\qquad\text{add 8 to both sides}\\\\2|3x-3|<14\qquad\text{divide both sides by 2}\\\\|3x-3|<7\iff3x-3<7\ \wedge\ 3x-3>-7\qquad\text{add 3 to both sides}\\\\3x<10\ \wedge\ 3x>-4\qquad\text{divide both sides by 3}\\\\x<\dfrac{10}{3}\ \wedge\ x>-\dfrac{4}{3}[/tex]
