To solve this equation, we first need to find a common denominator for the fractions. The common denominator for 4, 2, and 5 is 20.

So, the equation becomes:

15/20x - 10/20 + 4/20x = 20/5

Combining like terms:

19/20x - 10/20 = 20/5

Now, combine the constants on both sides:

19/20x - 10/20 = 4

Adding 10/20 to both sides:

19/20x = 4 + 10/20
19/20x = 4 + 1/2
19/20x = 9/2

Now, multiply both sides by 20/19 to solve for x:

x = (9/2) * (20/19)
x = 180/38
x = 90/19

Therefore, the solution to the equation is x = 90/19.