#### Answer

$-10x$

#### Work Step by Step

The distributive property holds that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$).
We are given the expression $.25(8+4p)-.5(6+2p)$. We can use the distributive property to simplify the terms in parentheses and combine like terms.
$.4(10-5x)-.8(5+10x)=(.4\times 10)+(.4\times-5x)+(-.8\times 5)+(-.8\times10x)=(4)+(-2x)+(-4)+(-8x)=(-2-8)x+(4-4)=(-10)x+(0)=-10x$