Question

Select all the correct answers.

Select all of the expressions that are equivalent to the expression 3x − 12 − 2(x + 12)

Answer 1

x - 36

Explanation:

If this question is complete, then;

3x - 12 - 2(x+12)

3x -12 - 2x - 24

x - 36

Answer 2

Answer: Hope this helps you.

3(x − 4) − 2x − 24

3(x − 4) − 2(x + 12)

x − 36

Explanation:

I looked up your question and I found the choices. (I highlighted the correct ones for you.)

3x − 12 − 2x + 24

3(x − 4) − 2x − 24

3(x − 4) − 2(x + 12)

3(x + 4) − 2(x + 12)

x + 12

x − 36

First of all I will evaluate the distribute property

3x − 12 − 2(x + 12) = 3x − 12 − 2x - 12

This eliminates our first option

3x − 12 − 2x - 12 ≠ 3x − 12 − 2x + 24

And clarifies option 2.

3x − 12 − 2x - 12 ≠ 3x − 12 − 2x + 24

Now to speed the process up 3x-12 is equal to 3x - 3*4, which is also equal to 3(x − 4) − 2(x + 12) which makes the third option correct, and the fourth option wrong.

Now the last 2 is just the answer, so I am going to solve the equation

3x − 12 − 2(x + 12) (complete distribute property)

3x − 12 − 2x - 24 (now I will do like terms)

1x - 36 (1x = x)

x - 36

This means the last option is the correct one and the 2nd last option is wrong.

Meaning the correct options are:

3(x − 4) − 2x − 24

3(x − 4) − 2(x + 12)

x − 36