Answer
(F) $4(x+2)=4x+8$.
Work Step by Step
Formula for the distributive property:
$\Rightarrow a(b+c)=ab+ac$
Substitute $a=4,b=x$ and $c=2$.
$\Rightarrow 4(x+2)=4x+4\cdot 2$
Simplify.
$\Rightarrow 4(x+2)=4x+8$
Hence, the correct option is (F) $4(x+2)=4x+8$.