Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 201: 67

$-x+14$

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