Final answer:
The first step in solving the equation is to multiply both sides by 3x.
Step-by-step explanation:
To solve the equation (6)/(x) + (1)/(3x) = (19)/(6), the first step is to multiply both sides of the equation by the common denominator of (x) and (3x), which is 3x. This eliminates the denominators.
Multiplying (6)/(x) by 3x gives us 18, and multiplying (1)/(3x) by 3x gives us 1. Solving for x, we get 18 + 1 = (19)/(6).
So, the first step in solving the equation is to multiply both sides by 3x.