1: =>|3x-3/2|=x-1/2+1/4=x-1/4
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{4}\\\left(3x-\dfrac{3}{2}-x+\dfrac{1}{4}\right)\left(3x-\dfrac{3}{2}+x-\dfrac{1}{4}\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{4}\\\left(2x-\dfrac{5}{4}\right)\left(4x-\dfrac{7}{4}\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{\dfrac{5}{8};\dfrac{7}{16}\right\}\)
2: =>|1/3x+2/3|=5/3-1+x=x+2/3
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(\dfrac{1}{3}x+\dfrac{2}{3}-x-\dfrac{2}{3}\right)\left(\dfrac{1}{3}x+\dfrac{2}{3}+x+\dfrac{2}{3}\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(-\dfrac{2}{3}x\right)\cdot\left(\dfrac{4}{3}x+\dfrac{4}{3}\right)=0\end{matrix}\right.\Leftrightarrow x=0\)