Answer
The solution is -$\frac{2}{3}$
Work Step by Step
x+$\frac{1}{3}$=-$\frac{1}{3}$ Subtract $\frac{1}{3}$ from both sides
x+$\frac{1}{3}$-$\frac{1}{3}$=-$\frac{1}{3}$-$\frac{1}{3}$
x= -$\frac{2}{3}$
The solution is - $\frac{2}{3}$
Check
Replace x with -$\frac{2}{3}$
x+$\frac{1}{3}$=-$\frac{1}{3}$
-$\frac{2}{3}$+$\frac{1}{3}$=-$\frac{1}{3}$
$\frac{-2+1}{3}$=-$\frac{1}{3}$
-$\frac{1}{3}$=-$\frac{1}{3}$