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x=\frac{1}{4}+\frac{2}{5}
Add \frac{2}{5} to both sides.
x=\frac{5}{20}+\frac{8}{20}
Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{2}{5} to fractions with denominator 20.
x=\frac{5+8}{20}
Since \frac{5}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.
x=\frac{13}{20}
Add 5 and 8 to get 13.