\(2|5x-3|-2x=14\)
\(2|5x-3|=14+2x\)
\(|5x-3|=\frac{14+2x}{2}\)
\(\Leftrightarrow\orbr{\begin{cases}5x-3=\frac{14+2x}{2}\\5x-3=-\frac{14+2x}{2}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\left(5x-3\right)2=14+2x\\\left(5x-3\right)2=-14-2x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}10x-6-2x=-14\\10x-6+2x=14\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}8x=14+6\\12x=-14+6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}8x=20\\12x=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2,5\\x=-\frac{2}{3}\end{cases}}\)
vậy \(x=2,5\)hoặc\(x=-\frac{2}{3}\)
