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x=\frac{4}{5}+\frac{1}{2}
Add \frac{1}{2} to both sides.
x=\frac{8}{10}+\frac{5}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.
x=\frac{8+5}{10}
Since \frac{8}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.
x=\frac{13}{10}
Add 8 and 5 to get 13.