can some one please help me with this equation using the addition principle

-9/5 + x = -2/9
Please explain how you got your answer in all phases. Thanks

You need to add 5/9 to both sides of the equation.

-9/5 + x = -2/9

x = 9/5 - 2/9
x = 81/45 - 10/45
x = 71/45 = 1 26/45