The answer is x = -5
(4/x) - (2/5) = (6/x)
Move the variables to one side:
-(2/5) = (6/x) - (4/x)
Then simplify:
-(2/5) = (2/x)
-(2/5)x = 2
x = -5
You can check by substituting the solution back in, replacing the variable.