To solve the equation x/5 = 5/6 + (-19/30), we need to find a common denominator for the fractions on the right side of the equation.

The common denominator for 6 and 30 is 30. So, we can rewrite the equation as:

x/5 = (5/6)*(5/5) + (-19/30)

Simplifying the equation further:

x/5 = 25/30 + (-19/30)

x/5 = 6/30

Now, we can cross multiply to solve for x:

30x = 6 * 5

30x = 30

Dividing both sides of the equation by 30:

x = 1

Therefore, the solution to the equation x/5 = 5/6 + (-19/30) is x = 1.