\(a,\)
\(4.\left|x-5\right|-54=-34\)
\(4.\left|x-5\right|\) \(=-34+\left(-54\right)\)
\(4.\left|x-5\right|\) \(=-88\)
\(\left|x-5\right|\) \(=-88\div4\)
\(\left|x-5\right|\) \(=-22\)
\(\Rightarrow\orbr{\begin{cases}x-5=22\\x-5=-22\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=22+5\\x=-22+5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=27\\x=-17\end{cases}}\)