\(ĐK:\left\{{}\begin{matrix}2020x-2019\ge0\\2019x-2020\ge0\end{matrix}\right.\Leftrightarrow x\ge\dfrac{2020}{2019}\\ PT\Leftrightarrow\left(\sqrt{2020x-2019}-\sqrt{2019x-2020}\right)+2019\left(x+1\right)=0\\ \Leftrightarrow\dfrac{x+1}{\sqrt{2020x-2019}+\sqrt{2019x-2020}}+2019\left(x+1\right)=0\\ \Leftrightarrow\left(x+1\right)\left(\dfrac{1}{\sqrt{2020x-2019}+\sqrt{2019x-2020}}+2019\right)=0\\ \Leftrightarrow x+1=0\left(\dfrac{1}{\sqrt{2020x-2019}+\sqrt{2019x-2020}}+2019>0\right)\\ \Leftrightarrow x=-1\left(ktm\right)\)
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