Answer
$4x^3-11x^2+x$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $
3x(2x^2-x+5)-2x(x^2+4x+7)
,$ simplifies to
\begin{array}{l}\require{cancel}
6x^3-3x^2+15x-2x^3-8x^2-14x
\\\\=
(6x^3-2x^3)+(-3x^2-8x^2)+(15x-14x)
\\\\=
4x^3-11x^2+x
.\end{array}