What is the solution to the rational equation 1/5+3/x-5=9/20

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