Answer
$x=-1$
Work Step by Step
Subtract $1$ to both sides of the equation to have:
$\frac{2x}{9}=\frac{7}{9}-1
\\\frac{2x}{9}=\frac{7}{9}-\frac{9}{9}
\\\frac{2x}{9}=\frac{-2}{9}$
Multiply 9 to both sides of the equation to have:
$9(\frac{2x}{9})=9(\frac{-2}{9})
\\2x=-2
\\x=\frac{-2}{2}
\\x=-1$
