a) \(\left|x-\frac{3}{5}\right|=2x-\frac{2}{5}\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{3}{5}=2x-\frac{2}{5}\\x-\frac{3}{5}=\frac{2}{5}-2x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{5}\\3x=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{5}\\x=\frac{1}{3}\end{cases}}\)
Vậy \(x\in\left\{-\frac{1}{5};\frac{1}{3}\right\}\)
b) \(\left|x+0,37\right|=\left|2x-0,63\right|\)
\(\Leftrightarrow\orbr{\begin{cases}x+0,37=2x-0,63\\x+0,37=0,63-2x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\3x=0,26\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{13}{150}\end{cases}}\)
Vậy \(x\in\left\{\frac{13}{150};1\right\}\)
