Answer
$4x^3-3x^2-14x$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $
2x(x^2-3x-4)+x(2x^2+3x-6)
,$ simplifies to
\begin{array}{l}\require{cancel}
2x^3-6x^2-8x+2x^3+3x^2-6x
\\\\=
(2x^3+2x^3)+(-6x^2+3x^2)+(-8x-6x)
\\\\=
4x^3-3x^2-14x
.\end{array}