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x=\frac{11}{3}-\frac{3}{5}
Subtract \frac{3}{5} from both sides.
x=\frac{55}{15}-\frac{9}{15}
Least common multiple of 3 and 5 is 15. Convert \frac{11}{3} and \frac{3}{5} to fractions with denominator 15.
x=\frac{55-9}{15}
Since \frac{55}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.
x=\frac{46}{15}
Subtract 9 from 55 to get 46.