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x-\frac{3}{11}=\frac{1}{6}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{6}+\frac{3}{11}
Add \frac{3}{11} to both sides.
x=\frac{11}{66}+\frac{18}{66}
Least common multiple of 6 and 11 is 66. Convert \frac{1}{6} and \frac{3}{11} to fractions with denominator 66.
x=\frac{11+18}{66}
Since \frac{11}{66} and \frac{18}{66} have the same denominator, add them by adding their numerators.
x=\frac{29}{66}
Add 11 and 18 to get 29.