\(\left|\frac{2}{3}x-\frac{3}{4}\right|-\frac{1}{4}=0\)
\(\Rightarrow\left|\frac{2}{3}x-\frac{3}{4}\right|=0+\frac{1}{4}\)
\(\Rightarrow\left|\frac{2}{3}x-\frac{3}{4}\right|=\frac{1}{4}\)
\(\Rightarrow\hept{\begin{cases}\frac{2}{3}x-\frac{3}{4}=\frac{1}{4}\\\frac{2}{3}x-\frac{3}{4}=-\frac{1}{4}\end{cases}}\Rightarrow\hept{\begin{cases}x=\frac{3}{2}\\x=\frac{3}{4}\end{cases}}\)
Vậy : \(x\in\left\{\frac{3}{2};\frac{3}{4}\right\}\)