\(\frac{x-1}{x-5}=\frac{6}{7}\)
=> 7 ( x - 1 ) = 6 ( x - 5 )
7 x - 7 = 6x - 30
7 x - 6 x = - 30 + 7
x = - 23
\(\frac{x-1}{x-5}=\frac{6}{7}\Leftrightarrow7\left(x-1\right)=6\left(x-5\right)\)
\(\Leftrightarrow7x-7=6x-30\)
\(\Leftrightarrow7x-6x=-30+7\)
\(\Leftrightarrow x=-23\)
\(\text{Vậy x= -23}\)