What is the solution to the inequality 2 + 4/9x _> 4 + x

Multiply each side by 9:
18 + 4x > 36 + 9x
Subtract 18 from each side:
4x > 18 + 9x
Subtract 9x from each side:
-5x > 18
Divide each side by -5:
x < -3.6

Hope this helps!