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\frac{287.64}{10}=x-10
Divide both sides by 10.
\frac{28764}{1000}=x-10
Expand \frac{287.64}{10} by multiplying both numerator and the denominator by 100.
\frac{7191}{250}=x-10
Reduce the fraction \frac{28764}{1000} to lowest terms by extracting and canceling out 4.
x-10=\frac{7191}{250}
Swap sides so that all variable terms are on the left hand side.
x=\frac{7191}{250}+10
Add 10 to both sides.
x=\frac{7191}{250}+\frac{2500}{250}
Convert 10 to fraction \frac{2500}{250}.
x=\frac{7191+2500}{250}
Since \frac{7191}{250} and \frac{2500}{250} have the same denominator, add them by adding their numerators.
x=\frac{9691}{250}
Add 7191 and 2500 to get 9691.