Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1 - Page 195: 31

$-2x-5$

We write an expression to express this subtraction problem: $(3x-7)-(5x-2)$ We use the commutative, associative, and distributive properties to group like terms: $(3-5)x+(-7-(-2))$ We combine the like terms within each set of parentheses: $-2x+(-5)=-2x-5$