To solve the equation, we need to get rid of the fractions. We can do this by finding a common denominator for all the fractions involved. In this case, the common denominator is 45.

Multiplying every term in the equation by 45, we get:

45 * (-x/45) + 45 * (1/3) = 45 * (1/5)

Simplifying each term, we have:

-x + 15 = 9

Next, we can isolate the variable by subtracting 15 from both sides of the equation:

-x = 9 - 15

-x = -6

Finally, we can solve for x by multiplying both sides of the equation by -1:

x = 6

Therefore, the solution to the equation is x = 6.