Question

Given: 2x – 3(x – 5 + x) = 2x – 3

Prove: x = 3
Mathematical Statement
Justification

2x – 3(x - 5 + x) = 2x - 3
Given

2x – 3(x + x – 5) = 2x – 3
Commutative Property of Addition

2x – 3(2x – 5) = 2x – 3
Combine Like Terms

2x – 6x + 15 = 2x – 3


(2x – 6x) + 15 = 2x – 3


– 4x + 15 = 2x – 3


– 6x + 15 = – 3
Subtraction Property of Equality

– 6x = – 18
Subtraction Property of Equality

x = 3
Division Property of Equality



What are the missing justification steps, in order?

Distributive Property, Associative Property of Add