Question

Which properties of equality are used to solve the following? 2(x - 12) + 2 = 40

A) Addition Property of Equality

B) Subtraction Property of Equality

C) Combine Like Terms

D) Distributive Property

E) Division Property of Equality

This is multiple choice.

Answer 1

D. Distributive proprety

Explanation:

Because you have to distribute 2 to make it 2x and then do 2 (12) which is 24 and then add 2 to it again which equals 40

Answer 2

Equation: 2(x - 12) + 2 = 40

1. E) Division property of equality: Allows us to divide the whole equation, here, by 2, which gives us x - 12 + 1 = 20

2. C) Combine like terms: Allows us to combine like terms, here, combining on the left side of the equation gives us x - 11 = 20

3. A) Addition property of equality: Allows us to subtract the whole equation, here, by 11, gives us x = 31