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