1/5(5x-10) -2/9(9x-27) =9

To solve the equation provided: 1/5(5x-10) - 2/9(9x-27) = 9, we need to follow these steps:

1. First, distribute the fractions in the equation: (1/5) * (5x) - (1/5) * 10 - (2/9) * (9x) + (2/9) * 27 = 9

This simplifies to: x - 2 - 2x + 6 = 9

2. Combine like terms on the left side of the equation: -x + 4 = 9

3. Now, solve for x by isolating it on one side of the equation: -x = 9 - 4 -x = 5

4. Finally, divide by -1 to solve for x: x = -5

Therefore, the solution to the equation is x = -5.