To solve this equation, we first need to find a common denominator for the fractions on the left side of the equation, which is 60.

Multiplying each fraction by the appropriate factor to get a denominator of 60, we get:

(20/60)x + (15/60)x + (12/60)x = 1 19/75

Combining the fractions, we get:

(47/60)x = 1 19/75

Now, let's convert 1 19/75 to an improper fraction:

1 19/75 = 75/75 + 19/75 = 94/75

Substitute this back into the equation:

(47/60)x = 94/75

To solve for x, multiply both sides by the reciprocal of 47/60:

x = (94/75) * (60/47)

x = 120/47

Therefore, the solution to the equation is x = 120/47.