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x=\frac{2}{3}-\frac{5}{22}
Subtract \frac{5}{22} from both sides.
x=\frac{44}{66}-\frac{15}{66}
Least common multiple of 3 and 22 is 66. Convert \frac{2}{3} and \frac{5}{22} to fractions with denominator 66.
x=\frac{44-15}{66}
Since \frac{44}{66} and \frac{15}{66} have the same denominator, subtract them by subtracting their numerators.
x=\frac{29}{66}
Subtract 15 from 44 to get 29.