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\frac{5}{8}+\frac{8}{8}=x
Convert 1 to fraction \frac{8}{8}.
\frac{5+8}{8}=x
Since \frac{5}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.
\frac{13}{8}=x
Add 5 and 8 to get 13.
x=\frac{13}{8}
Swap sides so that all variable terms are on the left hand side.