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x=\frac{7}{2}+\frac{5}{3}
Add \frac{5}{3} to both sides.
x=\frac{21}{6}+\frac{10}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{5}{3} to fractions with denominator 6.
x=\frac{21+10}{6}
Since \frac{21}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.
x=\frac{31}{6}
Add 21 and 10 to get 31.