Answer:
x = -1 satisfies the equation.
Step-by-step explanation:
The equation is:
[tex]\frac{1}{3}\left(x+\frac{5}{3}\right)=\frac{2}{9}[/tex] (1)
So, we just need to solve it for x to know which number satisfies the equation (1).
[tex]x+\frac{5}{3}=\frac{3*2}{9}[/tex]
[tex]x=\frac{6}{9}-\frac{5}{3}[/tex]
[tex]x=\frac{6-15}{9}[/tex]
[tex]x=\frac{-9}{9}[/tex]
[tex]x=-1[/tex]
Therefore, x=-1 satisfies the equation.
I hope it helps you!