#### Answer

The solution is -$\frac{8}{9}$

#### Work Step by Step

x+$\frac{1}{9}$=-$\frac{7}{9}$ Subtract $\frac{1}{9}$ from both sides
x+$\frac{1}{9}$-$\frac{1}{9}$=-$\frac{7}{9}$-$\frac{1}{9}$
x= $\frac{-7-1}{9}$
x=-$\frac{8}{9}$
The solution is - $\frac{8}{9}$
Check
Replace x with -$\frac{8}{9}$
x+$\frac{1}{9}$=-$\frac{7}{9}$
-$\frac{8}{9}$+$\frac{1}{9}$=-$\frac{7}{9}$
$\frac{-8+1}{9}$=-$\frac{7}{9}$
-$\frac{7}{9}$=-$\frac{7}{9}$