\(\left(x-2013\right)^{2014}=1\)
\(\Rightarrow\left(x-2013\right)^{2014}=1^{2014}\)
\(\Rightarrow\left[{}\begin{matrix}x-2014=1\\x-2014=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2015\\x=2013\end{matrix}\right.\)
Vậy.....................