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\frac{3+\frac{5}{2}}{2}=x
Add 3 and 2 to get 5.
\frac{\frac{6}{2}+\frac{5}{2}}{2}=x
Convert 3 to fraction \frac{6}{2}.
\frac{\frac{6+5}{2}}{2}=x
Since \frac{6}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.
\frac{\frac{11}{2}}{2}=x
Add 6 and 5 to get 11.
\frac{11}{2\times 2}=x
Express \frac{\frac{11}{2}}{2} as a single fraction.
\frac{11}{4}=x
Multiply 2 and 2 to get 4.
x=\frac{11}{4}
Swap sides so that all variable terms are on the left hand side.