Question

\(\left|x-1\right|\) = 2x \(-\) 5

Answer 1

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{5}{2}\\\left(2x-5-x+1\right)\left(2x-5+x-1\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{5}{2}\\\left(x-4\right)\left(3x-6\right)=0\end{matrix}\right.\Leftrightarrow x=4\)

Answer 2

|x-1|=2x-5

=> x-1=2x-5       hoặc    x-1=5-2x

     -x=-4                      3x=6

      x=4                          x=2 (loại)