Question

Which property explains the step shown in solving the equation?5(x − 2) = 12x − 39 ⇒ 5x − 10 = 12x − 39A)Distributive PropertyB)Multiplicative IdentityC)Multiplication Property of EqualityD)Commutative Property of Multiplication

Answer 1

Given:

$5(x-2)=12x-39\Rightarrow5x-10=12x-39$

Given equation is solved by distributive property.

Distributive property;

$A(B-C)=AB-AC$

Therefore, Option A) Distributive property is the correct answer.