Question

Given: 2x – 3(x – 5 + x) = 2x – 3

Prove: x = 3

Answer 1

Mathematical Statement
Justification

Answer 2

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?

Answer 3

Distributive Property, Associative Property of Addition, Combine Like Terms

Subtraction Property of Equality, Associative Property of Addition, Addition Property of Equality

Subtraction Property of Equality, Commutative Property of Addition, Addition Property of Equality

Distributive Property, Commutative Property of Addition, Combine Like Terms

Answer 4

i got Distributive Property, Associative Property of Addition, Combine Like Terms?