Question 304759
2/x=4/5x+2
Values that drive the denominator to zero:
x = 0, -2/5
These are the values that x cannot take.
.
Solving for x: 
Cross multiplying:
4x = 2(5x+2)
4x = 10x+4
-6x = 4
x = -4/6
x = -2/3 
Since the solved solution is NOT one of the excluded numbers, this must be the answer.