Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 201: 70

$-x-4$

Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $ -5(2x-1)-3[x-(4x-3)] ,$ simplifies to \begin{array}{l}\require{cancel} -10x+5-3[x-4x+3] \\\\= -10x+5-3[-3x+3] \\\\= -10x+5+9x-9 \\\\= (-10x+9x)+(5-9) \\\\= -x-4 .\end{array}