\(1,5-3.\left|5-2x\right|=1^{2014}-\frac{17}{2}\)
\(1,5-3.\left|5-2x\right|=-\frac{15}{2}\)
\(3\left|5-2x\right|=1,5-\frac{-15}{2}=9\)
\(\left|5-2x\right|=3\)
\(\Rightarrow\orbr{\begin{cases}5-2x=3\\5-2x=-3\end{cases}}\Rightarrow\orbr{\begin{cases}2x=2\\2x=8\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=4\end{cases}}}\)