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\frac{4}{5}x=80-x+\frac{1}{5}x
Combine x and -\frac{1}{5}x to get \frac{4}{5}x.
\frac{4}{5}x=80-\frac{4}{5}x
Combine -x and \frac{1}{5}x to get -\frac{4}{5}x.
\frac{4}{5}x+\frac{4}{5}x=80
Add \frac{4}{5}x to both sides.
\frac{8}{5}x=80
Combine \frac{4}{5}x and \frac{4}{5}x to get \frac{8}{5}x.
x=80\times \frac{5}{8}
Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.
x=\frac{80\times 5}{8}
Express 80\times \frac{5}{8} as a single fraction.
x=\frac{400}{8}
Multiply 80 and 5 to get 400.
x=50
Divide 400 by 8 to get 50.