`(2x-1)^{2018}=(2x-1)^{2019}`
`(2x-1)^{2019}-(2x-1)^{2018}=0`
`(2x-1)^{2018}.[(2x-1)-1]=0`
`<=>` \(\left[ \begin{array}{l}2x-1=0\\2x-1-1=0\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}2x=1\\2x=2\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=1/2\\x=1\end{array} \right.\)