anonymous
  • anonymous
-17 – x = -2(3x + 1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
You need to distribute the -2 to each of the terms in the parentheses. Then you can solve it in the usual way.
anonymous
  • anonymous
i did that polPak and heres what i came up with
anonymous
  • anonymous
-21

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