-17 – x = -2(3x + 1)

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-17 – x = -2(3x + 1)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You need to distribute the -2 to each of the terms in the parentheses. Then you can solve it in the usual way.
i did that polPak and heres what i came up with
-21

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Other answers:

Nope. What was the equation after you do the distributing?
-17 - 6x +6X -2-X
2(3X +1) -17- X= 6X + 2
You forgot that it's a -2, not 2 you're distributing.
\[-2(3x + 1) = -2(3x) -2(1) = -6x - 2\] So you should have \[17 - x = -6x -2\]
oh so the 6 becomes -6x
And the 2 becomes -2.
Err My equation is slightly wrong.. You should have \[-17 -x = -6x -2\]
-17 - x = -6 - 2
Don't lose track of the x on the -6. It's important
then now i can solve for x so the its -17x -6 - 2
No. -17 - x is not -17x and you can't just put them together like that.
Ok look at it like this.
ok
You have this equation: \[-17 - x = -6x -2\] That means that \(-17 - x\) IS EXACTLY THE SAME AS \(-6x -2\) So if they are the same then isn't \((-6x -2) + 2\) exactly the same as \((-17 - x) + 2\)?
-17 - 8 so there for x is 8
I have no idea what you are doing.. -17 - 8 doesn't enter into it.
i am just lost
Ok stop doing things.. Just look at what I'm saying.
\[-17 - x \text{ EQUALS } -6x -2\]
okay lol i am stopping right now
Ok? They are the same.
That's what equals means right?
yes
Ok so now lets use some basic arithmetic rules to clean this up a bit. First we can swap the terms on the left because addition can be rewritten in any order and it works the same.. \[-17 -x = -x -17\] right?
okay
Do you agree that those two are equal? Is 3+5 the same as 5+3 and -3 - 5 the same as -5 - 3?
yes
because you distribute right
Commute, but yeah.
Ok, so -17 - x is the same as -x - 17. But we also said that -17 - x was the same as -6x - 2. So that means that -x - 17 must be the same as -6x - 2.
Right?
right
So now our equation looks like this: \[-x - 17 = -6x - 2\]
that part i got is solving for x thats has me upside ways
We'll get there.
So if those two things are the same.. Then isn't \[6x + (-x - 17) = 6x + (-6x - 2)\]
Because we added 6x to both sides, and if they were equal to start with, they must still be equal.
okay thats the part that throws me off
How so?
its like my flipping mind goes blank and i have no idea what comes next
Ok relax for a second and lets talk about something else first.
or maybe i am trying too hard to understand and i get tied up
Think of a number, any number you want. Don't tell me what it is.
ok
Now, tell me what 2 times that number is.
184
Ok. So now I will magically read your mind and tell you that your number is 92!
How did I accomplish this sorcery?
lol yes
you divided
But how does that help me?
Because you told me that 2x = 182
Well I know that if 2x = 182 then \[2x \times {1 \over 2} = 182 \times {1 \over 2}\]
so you have to find out what 2x amounts to
Because you said that they were the same, so anything I do to both sides will maintain equality.
And \[2x \times \frac{1}{2} = x\]
And \[182 \times \frac{1}{2} = 92\]
So therefore x = 92
So now I'm thinking of a number.
91
okay
Whoops. Sorry I typo'd your response.
Shoulda been 184 not 182.
no one has ever broke it down like this thank you
its okay
so you want me to solve for your number
Now if you take the number I'm thinking of, and add 17 to it. You will get 2 more than 6 times that same number.
So first. can you write an equation (using x for my number) which describes the statement I've given you?
2(6^6)+17=X
Not quite. Lets break down what I said: x + 17 The number I'm thinking of, and add 17 to it = IS 2 more than 6 times that number 2 + 6x
Or better still 6x + 2
12(6)=72+17=89
No no no.
OH WOW
You keep jumping ahead ;)
okay am slowing down
and laughing at myself
np =)
Try again. 14 more than the number is 2 more than 4 times the number.
We're just practicing turning english into equations.
okay
Don't try to solve it yet. Just rewrite what I say in equation form.
Actually 14 more than the number is 5 more than 4 times the number.
14 + n = 2(4)
Sorry
Almost!
was i close
The left side is right, the right side is not.
Try my last version, but break it down a bit. If x is my number what is 4 times my number??
14 + n = 5(4 + n) oh please be right
You're doing great btw. It's important to have patience when working through this.
No, that's not right still. Lets work through it a little at a time.
What is 4 times my number?
your number is 14 right
no
my number is x
ok am gonna shoot here is it 14x be gentel
lets do something really quick cause it seems like we have a breakdown when you try to use letters instead of numbers. If I tell you my number is 22, and I ask what is 2 times my number what would you do?
2(22)=44
Awsome!
That's perfect
Now if I tell you my number is k and I ask you what's 4 times my number what would you do?
yeah me finally
4(k)
yep!
And if I tell you my number is b and I ask what is 5 more than (4 times my number)?
You taking a long time, so I know something is wrong ;p
If I tell you my number is 3 and I ask what is 5 more than my number?
oh help me okay it would 20(b) or 5(b)=20
neither.
darn it
it's just a little language barrier. We'll fix it
If I tell you my number is 3 and I ask what is 5 more than my number what would you do?
am trying not to think of the words
the words are important.
3(5)=15
15 is 3 more than 5?
Or 5 more than 3?
What is 5 more than 3?
8
5 + 3
am adding here
5 + 3 means 5 more than 3
gosh i feel stupid now
It's ok. Just a little gap in your knowledge.
so am mixing up more with multiplying
a huge gap
Right. If I say 4 times my number is 4k Then what is 5 more than 4 times my number?
ok let me solve it
Don't have to solve, just have to translate.
4k +9
So close!
oops i left off the 4
No.
Ok, my number is k. What is 4 times my number?
4(k)=4k
Ok, and what is 5 more than 4 times my number?
You already solved half of this just a minute ago.
9(n)
holding my breath
No. it's 5 + 4k 5 more than four times my number
5 + 4k
5 more means +5
am trying too hard
yes
Ok, but now you know.
okay so i don't add 5 and 4 just 5+ 4k
right
these are the steps. -17-x=-6x-2 6x-x=17-2 5x=15 x=3
While I'm sure doing her work is appreciated it's not going to help her on the next problem.
awe man
thats true
thanks pat18
One sec Bella. This thread is lagging up a bit. Lets start a new question with the next one?
okay
brb
you are welcome.
okay am back polPak
Can you make a new questiON?
err question?
okay
what is 6 times my number a and 8 more times 4
Oh, sorry I think you misunderstand. I am going to make a new problem on the left side. Please go there

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