Question

How many solutions does the equation have?http://static.k12.com/bank_packages/files/media/mathml_78a9ed0966046108b434fa30efdf70712cb72263_1.gif

Answer 1

you have to solve it out to see, do you need help doing so?

Answer 2

yes

Answer 3

alrighty well do you know the first thing you should do?

Answer 4

find like equations?

Answer 5

well you already have the equations right? Isn't this the equation you posted:\[4(2x+3) = 2(3x-4)\]

Answer 6

you need to solve for x right?

Answer 7

yeah thats right..

Answer 8

haha ok so, the first step you need to do is distribute over the parentheses. Do you know how to do so?

Answer 9

yeah u do 4 times 2x right

Answer 10

exactly! but you must also distribute the 4 to the 3 as well. So show me what that looks like!

Answer 11

8+12?

Answer 12

Correct but what happened to the x?

Answer 13

8x?

Answer 14

yes so the whole left side should be 8x+12! So now do the same thing to the right side of the equation: Distribute the 2.

Answer 15

6x-8 ?

Answer 16

perfect! so now we have the equation:\[8x + 12 =6x - 8\]
do you know our next step?

Answer 17

now u combine like terms.

Answer 18

yup so how do we do so?

Answer 19

8x+6x and 12-8?

Answer 20

well unfortunately we can't just combine them like so. We have to move them over. So let's say we want to move the 8 over to the right side. To do so we add the opposite to each side so since we have a -8 on the right side to move it to the left side we add 8 to both sides:
\[8x+12 = 6x-8\]\[8x+12 (+8)= 6x-8 (+8)\]\[8x+20 = 6x + 0\]\[8x+20 = 6x\] does this make sense?

Answer 21

oops I mean the left side, we want to move it to the left side, sorry about that

Answer 22

yeah it does thx

Answer 23

no problem so do you have it from here, or do you want me to help you through the rest of the problem?

Answer 24

please help >////<

Answer 25

ok no problem! Alright so I moved the 8 for you, so why don't you move the 8x over so that we can combine those like terms together?

Answer 26

You mean 8x-6x?

Answer 27

i always fail at this part so forgive me >///<

Answer 28

No problem! We will take it step by step since learning this now will help so much as everyone has to learn algebra! So you are actually not far off(in fact I wouldn't say that you are doing it incorrectly but you are just doing it the long way). So we'll just do it like that. So what do you get (write out the entire equation for me).

Answer 29

8x-6x=3x? Do you mean write it out like this?

Answer 30

2x i meant

Answer 31

sorta so do you see how I wrote it out in my previous comment? I want you to write it out like that! Does that make sense?

Answer 32

it's the comment where I added 8 to both sides

Answer 33

hey @NaLu123 (I keep trying to call you Natsu due to your pic) but I actually need to go but I will probably be back later if you need help otherwise you can simply ask this question again and someone will probably help you!

Answer 34

byebye