Question

How do I solve 1/x=5/x-1/11

Answer 1

multiply first fraction by 5 so 5 / 5x = 5 / {(x-1) / 11}

so numerators are equal, so are denominators.

5x = {(x-1) / 11}
55x = x - 1
54x = -1
x = - 1 / 54

which is an odd answer unless you meant to write a different equation.

if you did, re-write it using equation.