\(\left|x-2\right|-3x=5\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-2-3x=5\\2-x-3x=5\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}-2x=7\\-4x=3\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=-\frac{7}{2}\\x=-\frac{3}{4}\end{array}\right.\)
\(\left|x-2\right|-3x=5\)
\(\Leftrightarrow\left|x-2\right|=3x+5\)
+ ) \(x< 2\)
pt \(\Leftrightarrow2-x=3x+5\)
\(\Leftrightarrow-x-3x=5-2\)
\(\Leftrightarrow-4x=3\)
\(\Leftrightarrow x=-\frac{3}{4}\) |( nhận )
pt \(\Leftrightarrow x-2=3x+5\)
\(\Leftrightarrow x-3x=5+2\)
\(\Leftrightarrow-2x=7\)
\(\Leftrightarrow x=-\frac{7}{2}\) ( loại )
Vậy .................
