Question

1/(x-5) = 7/2x

x = 7?

Answer 1

1/(x-5) = 7/2x

1(2x) = 7(x-5)
2x = 7x-35
5x = 35
x = 7

Whenever you have fractions, make sure that your answer does not make a denominator zero. In this case, things were ok. x=5 and x=0 would be excluded as solutions, since you cannot divide by zero.