\(2,\\ a,PT\Leftrightarrow\left|x-5\right|=6\Leftrightarrow\left[{}\begin{matrix}x=11\\x=-1\end{matrix}\right.\\ b,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow\sqrt{2x-1}+\dfrac{3}{2}\cdot2\sqrt{2x-1}-\dfrac{2}{5}\cdot5\sqrt{2x-1}=4\\ \Leftrightarrow2\sqrt{2x-1}=4\Leftrightarrow\sqrt{2x-1}=2\\ \Leftrightarrow2x-1=4\Leftrightarrow x=\dfrac{5}{2}\left(tm\right)\\ c,PT\Leftrightarrow\left|1-x\right|=x+1\\ \Leftrightarrow\left[{}\begin{matrix}1-x=x+1\left(x\le1\right)\\x-1=x+1\left(x>1\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(tm\right)\\0x=2\left(ktm\right)\end{matrix}\right.\Leftrightarrow x=0\)