\(\dfrac{x+1}{x-1}=\dfrac{x-2019}{x+2019}\)
\(\Leftrightarrow1+\dfrac{2}{x-1}=1-\dfrac{4038}{x+2019}\)
\(\Leftrightarrow\dfrac{2}{1-x}=\dfrac{4038}{x+2019}\)
\(\Leftrightarrow2x+4038=4038-4038x\)
\(\Leftrightarrow2x=-4038x\)
\(\Leftrightarrow x=0\)
Vậy x = 0