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x=\frac{7}{9}-\frac{1}{6}
Subtract \frac{1}{6} from both sides.
x=\frac{14}{18}-\frac{3}{18}
Least common multiple of 9 and 6 is 18. Convert \frac{7}{9} and \frac{1}{6} to fractions with denominator 18.
x=\frac{14-3}{18}
Since \frac{14}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.
x=\frac{11}{18}
Subtract 3 from 14 to get 11.