Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 201: 69

$-7x+12$

Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $ -4(3x+2)-5[2x-(3x+4)] ,$ simplifies to \begin{array}{l}\require{cancel} -12x-8-5[2x-3x-4] \\\\= -12x-8-5[-x-4] \\\\= -12x-8+5x+20 \\\\= (-12x+5x)+(-8+20) \\\\= -7x+12 .\end{array}