\(\left|2x-6\right|=\hept{\begin{cases}2x-6\left(khi2x-6\ge0\right)\\6-2x\left(khi2x-6< 0\right)\end{cases}}\)
\(\left|2x-6\right|=\hept{\begin{cases}2x-6khix\ge3\\6-2xkhix< 3\end{cases}}\)
\(\left|2x-2\right|=\hept{\begin{cases}2x-2khi2x-2\ge0\\2-2xkhi2x-2< 0\end{cases}}\)
\(\left|2x-2\right|=\hept{\begin{cases}2x-2khix\ge1\\2-2xkhix< 1\end{cases}}\)
KHI \(x< 1\):
\(6-2x+2-2x=6\)
\(\Rightarrow-4x+8=6\)
\(\Rightarrow4x=2\Rightarrow x=\frac{1}{2}\)(THỎA MÃN)
KHI \(1\le x< 3\)
\(6-2x+2x-2=6\)
\(\Rightarrow4=6\)9VÔ NGHIỆM)
KHI: \(x\ge3\)
\(\Rightarrow2x-6+2x-2=6\)
\(\Rightarrow4x=14\Rightarrow x=\frac{7}{2}\)(THỎA MÃN)
