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\frac{2}{5}\times 4x+\frac{2}{5}\left(-5\right)
Use the distributive property to multiply \frac{2}{5} by 4x-5.
\frac{2\times 4}{5}x+\frac{2}{5}\left(-5\right)
Express \frac{2}{5}\times 4 as a single fraction.
\frac{8}{5}x+\frac{2}{5}\left(-5\right)
Multiply 2 and 4 to get 8.
\frac{8}{5}x+\frac{2\left(-5\right)}{5}
Express \frac{2}{5}\left(-5\right) as a single fraction.
\frac{8}{5}x+\frac{-10}{5}
Multiply 2 and -5 to get -10.
\frac{8}{5}x-2
Divide -10 by 5 to get -2.
\frac{2}{5}\times 4x+\frac{2}{5}\left(-5\right)
Use the distributive property to multiply \frac{2}{5} by 4x-5.
\frac{2\times 4}{5}x+\frac{2}{5}\left(-5\right)
Express \frac{2}{5}\times 4 as a single fraction.
\frac{8}{5}x+\frac{2}{5}\left(-5\right)
Multiply 2 and 4 to get 8.
\frac{8}{5}x+\frac{2\left(-5\right)}{5}
Express \frac{2}{5}\left(-5\right) as a single fraction.
\frac{8}{5}x+\frac{-10}{5}
Multiply 2 and -5 to get -10.
\frac{8}{5}x-2
Divide -10 by 5 to get -2.