Giải:
Ta có: \(\dfrac{x-1}{x-5}=\dfrac{6}{7}\)
\(\Leftrightarrow6\left(x-5\right)=7\left(x-1\right)\)
\(\Leftrightarrow6x-30=7x-7\)
\(\Leftrightarrow6x-7x=30-7\)
\(\Leftrightarrow-x=23\)
\(\Leftrightarrow x=-23\)
Vậy \(x=-23\).
Chúc bạn học tốt!