\(3:\left|x-1\right|=27:\left|1-x\right|\left(ĐK:x\ne1\right)\)
\(\Rightarrow3:\left|x-1\right|-27\left|x-1\right|=0\)
\(\Rightarrow\left(3-27\right):\left|x-1\right|=0\)
\(\Rightarrow-24:\left|x-1\right|=0\)
\(\Rightarrow\left|x-1\right|=0\)
\(\Rightarrow x=1\) (Loại)