To solve the equation -x + 2/3 = 4/9, we need to isolate the variable x.

First, let's get rid of the fraction by multiplying both sides of the equation by the least common denominator (LCD), which is 9:

9(-x + 2/3) = 9(4/9)

Simplifying:

-9x + 6 = 4

Next, let's isolate the variable x by subtracting 6 from both sides:

-9x + 6 - 6 = 4 - 6

Simplifying:

-9x = -2

Finally, divide both sides of the equation by -9 to solve for x:

(-9x)/-9 = -2/-9

Simplifying:

x = 2/9