ĐKXĐ : `x\ne±2`
`(2x-1)/(x+2)-x/(x-2)=(5x-2)/(4-x^2)`
⇒`(2x-1)(x-2)-x(x+2)=-(5x-2)`
⇔`2x^2-x-4x+2-x^2-2x=-5x+2`
⇔`x^2-2x-0`
⇔`x(x-2)=0`
⇔\(\left[ \begin{array}{l}x=0\\x-2=0\end{array} \right.\)
⇔\(\left[ \begin{array}{l}x=0\\x=2\end{array} \right.\)
⇔`x=0`