\(x\cdot2018-x=2018\cdot2009+2018\)
\(x\cdot2018-x=2018\cdot2010\)
\(x\cdot2018-x=\text{4056180}\)
\(x\cdot2018-x=x\cdot2017=\text{4056180}\)
\(x=\text{4056180}:2017\)
\(x=\text{2010.9965295}\)
\(x\times2018=2018\times2019+2018\)
\(x\times2018=2018\times\left(2019+1\right)\)
\(x\times2018=2018\times2020\)
\(x=2018\times2020\div2018\)
\(x=2020\)