Final answer:
The next step is to combine the fractions on the left side of the equation by finding a common denominator, resulting in (4)/(9x) = 9, and then solve for x.
Step-by-step explanation:
In solving the equation (1)/(x) - (5)/(9x)=9 for x, the next step should be to combine the fractions on the left side of the equation. This is achieved by finding a common denominator, which in this case is 9x. We start by multiplying the first term (1/x) by 9/9 to get (9/9x), and then we can combine the two terms to have (9 - 5)/(9x). Once the fractions are combined, the resulting equation is (4)/(9x) = 9. Next, you can solve for x by multiplying both sides of the equation by 9x and then dividing by 4 to isolate x.