\(1,\Leftrightarrow\left[{}\begin{matrix}2x-1=x+3\\1-2x=x+3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{2}{3}\end{matrix}\right.\\ 2,\Leftrightarrow\left[{}\begin{matrix}\left(x-4\right)\left(x-3\right)=x-4\\\left(x-4\right)\left(x-3\right)=4-x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\left(x-4\right)^2=0\\\left(x-4\right)\left(x-2\right)=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=2\end{matrix}\right.\\ 3,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow\left[{}\begin{matrix}2-x=2x-1\\x-2=2x-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x=-1\left(ktm\right)\end{matrix}\right.\\ 4,ĐK:x\ge-2\\ PT\Leftrightarrow\left[{}\begin{matrix}2x+5=x+2\\2x+5=-x-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\left(ktm\right)\\x=-\dfrac{7}{3}\left(ktm\right)\end{matrix}\right.\)