\(A=2\left|x-2\right|+3\)
TH1: \(\left|x-2\right|=x-2\) với \(x-2\ge0\Leftrightarrow x\ge2\)
Nên : \(A=2\left(x-2\right)+3=2x-4+3=2x-1\)
TH2: \(\left|x-2\right|=-\left(x-2\right)\) với \(x-2< 0\Leftrightarrow x< 2\)
Nên: \(A=-2\left(x-2\right)+3=-2x+4+3=-2x+7\)