Solve for x over the real numbers:
-5 + 1/5 + 3/x = 9/20
-5 + 1/5 + 3/x = 3/x - 24/5:
3/x - 24/5 = 9/20
Bring 3/x - 24/5 together using the common denominator 5 x:
-(3 (8 x - 5))/(5 x) = 9/20
Cross multiply:
-60 (8 x - 5) = 45 x
Expand out terms of the left hand side:
300 - 480 x = 45 x
Subtract 45 x + 300 from both sides:
-525 x = -300
Divide both sides by -525:
Answer: x = 4/7