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 1

Distributive Property, Addition Property of Equality, Subtraction Property of Equality
Combine Like Terms, Subtraction Property of Equality, Addition Property of Equality
Distributive Property, Combine Like Terms, Subtraction Property of Equality
Combine Like Terms, Distributive Property, Addition Property of Equality

Answer 2

answers above

Answer 3

Combine Like Terms, Subtraction Property of Equality, Addition Property of Equality

You can see this because in the first unlabeled step, they're combining x and -6x to get -5x, then subtracting 2x from both sides, then adding 4 to both sides.

Answer 4

oooooh thank you :)