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\frac{5}{15}+\frac{6}{15}=x
Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.
\frac{5+6}{15}=x
Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.
\frac{11}{15}=x
Add 5 and 6 to get 11.
x=\frac{11}{15}
Swap sides so that all variable terms are on the left hand side.