Giải phương trình : 2x/x - 2 - 5/x - 3 = 5/(x - 2)(x - 3)

* Hướng dẫn giải

$\begin{array}{l}\frac{2x}{x-2}-\frac{5}{x-3}=\frac{5}{\left(x-2\right)\left(x-3\right)}\left(\begin{array}{l}x\ne 2\\ x\ne 3\end{array}\right)\\ \Rightarrow 2x\left(x-3\right)-5\left(x-2\right)=5\iff \left[\begin{array}{l}x=\frac{1}{2}\\ x=5\end{array}\right.\left(tm\right)\end{array}$