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?
Answer
Distributive Property, Addition Property of Equality, Subtraction Property of Equality
Combine Like Terms, Subtraction Property of Equality, Additio

Answer 1

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