Question

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

Answer 1

From
2x - 3(2x - 5) = 2x - 3
To
2x - 6x + 15 = 2x - 3

What was done?

Answer 2

the steps are 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 3

i think its subtraction ,associative property, addition property of equality

Answer 4

Are you guessing? ;)

Answer 5

nope i just dont know if putting 2x-6x in paranthesis (2x-6x) counts as a distributive property
??

Answer 6

Well, my first question:
From
2x - 3(2x - 5) = 2x - 3
To
2x - 6x + 15 = 2x - 3

What was done?

Answer 7

distribute you multiplied 3*2x then 3*5

Answer 8

Distribute, precisely :D
So in your choices, only two of them say "distributive" first.

Answer 9

So the first step is "Distributive Property..."
Now,
From
2x - 6x + 15 = 2x - 3
To
(2x – 6x) + 15 = 2x – 3

What was done?

Answer 10

associative property of addiditon right?

Answer 11

Associative property: Changing the grouping of the addends doesn't change the sum :D
So yeah

Answer 12

oh okayy thankss i didnt understand that very well but thank you i understand now soo much!1

Answer 13

No problem :)