\(\left|0,5x-2\right|-\left|x+\dfrac{2}{3}\right|=0\\ \Rightarrow\left|0,5x-2\right|=\left|x+\dfrac{2}{3}\right|\\ \Rightarrow\left[{}\begin{matrix}0,5x-2=x+\dfrac{2}{3}\\0,5x-2=-x-\dfrac{2}{3}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{16}{3}\\x=\dfrac{8}{9}\end{matrix}\right.\)