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x=\frac{8}{9}-\frac{2}{3}
Subtract \frac{2}{3} from both sides.
x=\frac{8}{9}-\frac{6}{9}
Least common multiple of 9 and 3 is 9. Convert \frac{8}{9} and \frac{2}{3} to fractions with denominator 9.
x=\frac{8-6}{9}
Since \frac{8}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.
x=\frac{2}{9}
Subtract 6 from 8 to get 2.