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2x=\frac{8}{9}+\frac{1}{9}
Add \frac{1}{9} to both sides.
2x=\frac{8+1}{9}
Since \frac{8}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.
2x=\frac{9}{9}
Add 8 and 1 to get 9.
2x=1
Divide 9 by 9 to get 1.
x=\frac{1}{2}
Divide both sides by 2.