Question

Given: x – (5 – 3x + 2) = 15 + 3x

Prove: x = 22
attatchment below


OPTIONS

What are the missing justification steps, in order?

Commutative Property of Addition, Combine Like Terms, Distributive Property

Associative Property of Addition, Distributive Property, Multiplication Property of Equality

Associative Property of Addition, Commutative Property of Addition, Distributive Property

Associative Property of Addition, Distributive Property, Addition Property of Equality

Answer 1

this is hard :/

Answer 2

No it is easy if you know all the properties...

Answer 3

plug the value of x in the equation to prove it

Answer 4

22-(5-3(22)+2)=15+3(22)

Answer 5

Just wait @jiteshmeghwal9

Answer 6

-1289=81?

Answer 7

You have to find x..
Just suppose that 22 is not the answer for 10 minutes.. @Gretchen2013

Answer 8

?

Answer 9

x – (5 – 3x + 2) = 15 + 3x <-- VERY SIMPLE equation.

First we want to do distributive property.
We want to distribute the negative sign to the (5-3x+2)

So then the equation will become..
x-5+3x-2=15+3x

Now that we have our new equation -> x-5+3x-2=15+3x
Lets break it down a bit more, By combining like terms!
We will combine our x's together.
so..
x-5+3x-2=15+3x
will become..
4x-5-2=15+3x

Now, that we have combined our x's on one side, let us also combine the simple numbers together.
So..
4x-5-2=15+3x
will become..
4x-7=15+3x

Now that we have our new equation -> 4x-7=15+3x
This will become very easy to solve!

4x-7=15+3x
We can start by adding the 7 to both sides.

4x-7=15+3x
+7 +7
------------
4x=22+3x

now we will subtract 3x on both sides.
4x=22+3x
-3x -3x
----------
x=22

Answer 10

theanks for explaining! @karatechopper

Answer 11

Most welcome! @Gretchen2013

Answer 12

Hey i used Option D on here.