\(\dfrac{x+1}{2020}+\dfrac{x-1}{2018}=\dfrac{x+5}{2024}+\dfrac{x-5}{2014}\)
\(\Leftrightarrow\left(\dfrac{x+1}{2020}-1\right)+\left(\dfrac{x-1}{2018}-1\right)-\left(\dfrac{x+5}{2024}-1\right)-\left(\dfrac{x-5}{2014}-1\right)=0\)
\(\Leftrightarrow\dfrac{x-2019}{2020}+\dfrac{x-2019}{2018}-\dfrac{x-2019}{2024}-\dfrac{x-2019}{2014}=0\)
\(\Leftrightarrow\left(x-2019\right)\left(\dfrac{1}{2020}+\dfrac{1}{2018}-\dfrac{1}{2024}-\dfrac{1}{2014}\right)=0\)
\(\Leftrightarrow x-2019=0\\ \Leftrightarrow x=2019\)
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