solve each equation 1/x=5/x-4

1/x=5/x-4

 

If you mean

$$\\\frac{1}{x}=\frac{5}{x}-4 \qquad then\\\\
\frac{1}{x}-\frac{5}{x}=-4\\\\
\frac{1-5}{x}=-4\\\\
\frac{-4}{x}=-4\\\\
\frac{4}{x}=4\\\\
\frac{4}{x}=4\\\\
x=1$$