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

1/x=5/x-4

If you mean

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