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\frac{1}{5}x+20=10
Combine x and -\frac{4}{5}x to get \frac{1}{5}x.
\frac{1}{5}x=10-20
Subtract 20 from both sides.
\frac{1}{5}x=-10
Subtract 20 from 10 to get -10.
x=-10\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=-50
Multiply -10 and 5 to get -50.