Question

I need help with six questions just like the following. Can u explain HOW to do it? Pls HELP! MEDAL!!!!

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

A. One real solution
B. Infinite real solution
C. No real solution

Answer 1

do you know how to distribute through the parenthesis ?

Answer 2

not really

Answer 3

All it means is take the number outside of the parenthesis, and multiply it by everything in the parenthesis...let me show you..
2(x + 12) is the same as 2 * x + 2 * 12 = 2x + 24
do you understand that ?

Answer 4

Oh yeah, that's easy! Okay, what next?

Answer 5

2(x + 12) - 2x = 3(x - 2) --- distribute through the parenthesis
2x + 24 - 2x = 3x - 6
are you still following me ? Any questions so far ?

Answer 6

Yup, still following you. No questions.

Answer 7

2x + 24 - 2x = 3x - 6 --- combine any like terms that you have
24 = 3x - 6 -- you see how the 2x's cancelled
now we want to get x by itself, so we will add 6 to both sides
24 + 6 = 3x - 6 + 6 --- the 6's on the right side cancel
30 = 3x -- now divide both sides by 3
30/3 = x
10 = x

still following ? Ask questions if you have any ?

Answer 8

distribute then
combine like terms then
simplify

Answer 9

basically...yes. And since we found x, there is only 1 solution

Answer 10

IF your answer would have been : 3x - 2 = 3x - 2...then that would be infinite solutions...and if it would have come out like 3 = 2...that would be no solutions

Answer 11

YES! That's what i guessed. Oh wait, I forgot to post that reply. :( Oops, I meant to tell you that one solution was my guess. I see what you did but now I'm gonna try another one on my own and then you can check it…..pls?

Answer 12

I will check it for you ?

Answer 13

we are here to help! :)

Answer 14

Thanks @icecreamman and @texaschic101. Gimme a couple secs to work it out

Answer 15

icecreamman...cool name

Answer 16

Ikr!

Answer 17

Okay, so I think the equation 5(x+8)-7x=-(2x+4) is a no solution

Answer 18

5(x + 8) - 7x = -(2x + 4) --- distribute
5x + 40 - 7x = -2x - 4 -- combine like terms
-2x + 40 = -2x - 4
you are correct...there is no solution because you cannot put the same number for x in this problem and get a correct answer...good job

Answer 19

YAY! Okay, sorry but I have a couple more I need you to check. I think the equation 24x+12=2(12x+6) is a infinite real solutions

Answer 20

24x + 12 = 2(12x + 6) -- distribute
24x + 12 = 24x + 12
yep..right again...infinite solutions

Answer 21

I'm on a roll. Lol. Okay, this is about to be rapid fire. Ready?

Answer 22

I am sooo ready...go

Answer 23

icecreamman would like to thank you @texaschic101

Answer 24

for what ?

Answer 25

I think 8(x+7)=6(x-4) is a one real solution

Answer 26

for saying that icecreamman has a cool name :) @texaschic101

Answer 27

And so is 5x-20=3(x-4). Thats a one real solution too

Answer 28

8(x + 7) = 6(x - 4)
8x + 56 = 6x - 24
8x - 6x = -24 - 56
2x = - 80
x = -40
yep...one real solution

oh, icecreamman...I just said that because it is true....I like the name...I could use some ice cream right about now...lol

Answer 29

I COULD USE ICE CREAM TOOOOO! I'm supposed to be on spring break and instead I'm working on this isn

Answer 30

spring break is not for homework...its for relaxing and having fun

Answer 31

Your telling me……smh. I hate my school right now.

Answer 32

Did you see my other guess?

Answer 33

hold on...let me refresh my screen...seeing a lot of black diamonds

Answer 34

I think it's still gonna be there. It's on mine too

Answer 35

what other guess ? I don't see it

Answer 36

oh wait....
5x - 20 = 3(x - 4)
5x - 20 = 3x - 12
5x - 3x = -12 + 20
2x = 8
x = 4

one solution

Answer 37

anymore ?

Answer 38

Last one!

Answer 39

ask away

Answer 40

12x+21=3(4x+6) is a no solution?

Answer 41

12x + 21 = 3(4x + 6)
12x + 21 = 12x + 18
you got it again...no solution

Answer 42

YAY! Ohmygoodness you helped me soooooo much! Thanks you, thank you, thank you!!!! :)

Answer 43

lol...anytime. You seem to know what you are doing..now you will be able to help others that do not know

Answer 44

Im so happy I'm finally done with that assignment. THanks for everything!