Solve for x
x=20
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\frac{4}{5}x-8=\frac{2}{5}x
Combine x and -\frac{1}{5}x to get \frac{4}{5}x.
\frac{4}{5}x-8-\frac{2}{5}x=0
Subtract \frac{2}{5}x from both sides.
\frac{2}{5}x-8=0
Combine \frac{4}{5}x and -\frac{2}{5}x to get \frac{2}{5}x.
\frac{2}{5}x=8
Add 8 to both sides. Anything plus zero gives itself.
x=8\times \frac{5}{2}
Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.
x=\frac{8\times 5}{2}
Express 8\times \frac{5}{2} as a single fraction.
x=\frac{40}{2}
Multiply 8 and 5 to get 40.
x=20
Divide 40 by 2 to get 20.
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