Ta có: \(3x-6=\left|x-1\right|+\left|x-2\right|\ge0\left(\forall x\right)\)
\(\Rightarrow3x-6\ge0\Leftrightarrow x-2\ge0\Rightarrow x\ge2\)
Khi đó: \(\hept{\begin{cases}\left|x-1\right|=x-1\\\left|x-2\right|=x-2\end{cases}}\)
PT trở thành: \(x-1+x-2=3x-6\)
\(\Rightarrow x=3\)
Vậy x = 3