Ta có:
\(2014\left|x-12\right|+\left(x-12\right)^2=2013\left|12-x\right|\)
\(\Rightarrow\left(x-12\right)^2=2013\left|12-x\right|-2014\left|x-12\right|\)
\(\Rightarrow\left(x-12\right)^2=-\left|x-12\right|\)
\(\Rightarrow x-12=0\Rightarrow x=12\)