Question

Simplify. –7 + 2(x – 3)

A. x - 10
B. x - 13
C. 2x - 10
D. 2x - 13

Answer 1

`-7 + 2(x -3) =-7+2x-6=2x-13`

Answer 2

`-7+2(x-3)\\use\ distributive\ property:a(b+c)=ab+ac\\\\-7+2(x)+2(-3)=-7+2x-6\\use\ commutative\ property:a+b=b+a\\\\2x+(-7)+(-6)=\boxed{2x-13}\to\boxed{D}`