ĐKXĐ; \(x\ne1;x\ne3\)
\(\Leftrightarrow\dfrac{4\left(x-1\right)}{\left(x-1\right)\left(x-3\right)}+\dfrac{\left(x-2\right)\left(x-3\right)}{\left(x-1\right)\left(x-3\right)}=\dfrac{2}{\left(x-1\right)\left(x-3\right)}\)
\(\Rightarrow4\left(x-1\right)+\left(x-2\right)\left(x-3\right)=2\)
\(\Leftrightarrow4x-4+x^2-5x+6=2\)
\(\Leftrightarrow x^2-x=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\left(loại\right)\end{matrix}\right.\)
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