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x=\frac{4}{5}+\frac{5}{8}
Add \frac{5}{8} to both sides.
x=\frac{32}{40}+\frac{25}{40}
Least common multiple of 5 and 8 is 40. Convert \frac{4}{5} and \frac{5}{8} to fractions with denominator 40.
x=\frac{32+25}{40}
Since \frac{32}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.
x=\frac{57}{40}
Add 32 and 25 to get 57.