Question

Given: x – 2(x + 2 + 2x) = 10 + 2x

Prove: x = –2

Mathematical Statement

Justification

x – 2(x + 2 + 2x) = 10 + 2x

Given

x – 2(x + 2x + 2) = 10 + 2x

Commutative Property of Addition

x – 2(3x + 2) = 10 + 2x

Combine Like Terms

x – 6x – 4 = 10 + 2x

Distributive Property

– 5x – 4 = 10 + 2x



– 7x – 4 = 10



– 7x = 14



x = –2

Division Property of Equality



What are the missing justification steps, in order?