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\frac{8}{20}+\frac{15}{20}=x
Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{3}{4} to fractions with denominator 20.
\frac{8+15}{20}=x
Since \frac{8}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.
\frac{23}{20}=x
Add 8 and 15 to get 23.
x=\frac{23}{20}
Swap sides so that all variable terms are on the left hand side.