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\frac{2}{5}\times 8=\frac{1}{5}x
Multiply both sides by 8.
\frac{2\times 8}{5}=\frac{1}{5}x
Express \frac{2}{5}\times 8 as a single fraction.
\frac{16}{5}=\frac{1}{5}x
Multiply 2 and 8 to get 16.
\frac{1}{5}x=\frac{16}{5}
Swap sides so that all variable terms are on the left hand side.
x=\frac{16}{5}\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=16
Cancel out 5 and 5.