7/2x - 5/x = 5

solve the equation check your answer

The way you typed it means

(7/2)x - 5/x = 5
multiply each term by 2x
7x^2 - 10 = 10x
7x^2 - 10x - 10 = 0
x = (10 ± √380)/20
= ...

if you meant:
7/(2x) - 5/x = 5
multiply each term by 2x
7 - 10 = 10x
10x = -3
x = -3/10

take your pick