|2X-1|-|X+ $\frac{1}{3}$ |=0

`|2x – 1| – |x + 1/3| = 0`

`<=> |2x – 1| = |x + 1/3|`

`<=>` \(\left[ \begin{array}{l}2x – 1 = x + \dfrac{1}{3}\\2x – 1 = -x – \dfrac{1}{3}\end{array} \right.\) 

`<=>` \(\left[ \begin{array}{l}x = \dfrac{4}{3}\\x = \dfrac{2}{9}\end{array} \right.\)