5/x-7 = 7/x-5

To solve the equation 5/(x-7) = 7/(x-5), we can first cross multiply to get rid of the fractions:

5(x-5) = 7(x-7)

Expanding both sides:

5x - 25 = 7x - 49

Rearrange the equation to isolate the variable x:

2x = 24

x = 12

So, the solution to the equation is x = 12.