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x\times 2=\frac{14}{9}-\frac{1}{3}
Subtract \frac{1}{3} from both sides.
x\times 2=\frac{14}{9}-\frac{3}{9}
Least common multiple of 9 and 3 is 9. Convert \frac{14}{9} and \frac{1}{3} to fractions with denominator 9.
x\times 2=\frac{14-3}{9}
Since \frac{14}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.
x\times 2=\frac{11}{9}
Subtract 3 from 14 to get 11.
x=\frac{\frac{11}{9}}{2}
Divide both sides by 2.
x=\frac{11}{9\times 2}
Express \frac{\frac{11}{9}}{2} as a single fraction.
x=\frac{11}{18}
Multiply 9 and 2 to get 18.