Answer
$ x= 2, \dfrac{2}{3}$
Work Step by Step
We are given that $|3x-4|=2$
This can be written as $ 3x-4 =2; 3x-4=-2$
First consider $3 x-4 =2 \implies x=2$
Now, $3x-4 =-2 \implies x =\dfrac{2}{3}$
Our result is: $ x= 2, \dfrac{2}{3}$