Solve the following equation x - $2\frac{1}{3} = 5\frac{1}{2}$

The correct answer is $7\frac{5}{6}$

x - $2\frac{1}{3} = 5\frac{1}{2}$
Adding $2\frac{1}{3}$ on both sides
x - $2\frac{1}{3} + 2\frac{1}{3} = 5\frac{1}{2} + 2\frac{1}{3}$
x = $5\frac{1}{2} + 2\frac{1}{3}$
x = $\frac{11}{2} + \frac{7}{3}$
Taking L.C.M of denominators
x = $\frac{(11 * 3)}{(2 * 3)}$ + $\frac{(7 * 2)}{(3 * 2)}$
x = $\frac{33}{6} + \frac{14}{6}$
x = $\frac{33 + 14}{6}$
x = $\frac{47}{6}$
x = $7\frac{5}{6}$