anonymous
  • anonymous
Solve -2(2x + 5) - 3 = -3(x - 1). 16 -16 -10 -13
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@billj5 , @Michele_Laino
anonymous
  • anonymous
So you are solving for x. Meaning you need to isolate the x-variable. What is your understanding of this Q so far?
anonymous
  • anonymous
ok start by distributing again

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anonymous
  • anonymous
^ Must use the distributive property first. (To get rid of those complex parenthesis!)
anonymous
  • anonymous
You need to use the distributive property on both sides of the equation first. -2(2x+5) and -3(x-1)
Michele_Laino
  • Michele_Laino
yes! If we apply the distributive property of multiplication over addition at both sides, we get: -4x -10 -3 = -3x +3
anonymous
  • anonymous
I'm not sure I can correctly distribute this question
anonymous
  • anonymous
so now what do we do?
anonymous
  • anonymous
|dw:1433694707661:dw|
anonymous
  • anonymous
Combine like terms.
Michele_Laino
  • Michele_Laino
what is: -10-3=...?
anonymous
  • anonymous
-7
anonymous
  • anonymous
|dw:1433694837006:dw|
Michele_Laino
  • Michele_Laino
no, it is: -10 -3 = -13
anonymous
  • anonymous
When you're in debt by $10, and get another loan for $3, you're in a total of 13$ of debt.
anonymous
  • anonymous
Oh okay.
anonymous
  • anonymous
Now isolate the x from either side… you'll still get the same answer regardless of which side you isolate the x with. (I'd go with the easier side)
anonymous
  • anonymous
IF you do it correctly^^
anonymous
  • anonymous
How would I do that?
anonymous
  • anonymous
divide right?
anonymous
  • anonymous
You should then get -4x-10=-3x+3 Then get variables and constants on different sides of equation -4x+3x=3+10 -1x = 13 Divide both sides by -1 Your answer should be x = -13 or D
anonymous
  • anonymous
|dw:1433694942353:dw|
anonymous
  • anonymous
Now what do you do?
anonymous
  • anonymous
divide ?
Michele_Laino
  • Michele_Laino
try to subtract 7x from both sides, please
anonymous
  • anonymous
No, subtract three from both sides then you can divide. (Remember we CANNOT divide/multiply if there are other constants)
anonymous
  • anonymous
Oh, would you like me to do it the other way? @Michele_Laino
Michele_Laino
  • Michele_Laino
sorry you are right! @Aureyliant
anonymous
  • anonymous
|dw:1433695063352:dw|
anonymous
  • anonymous
Now what do you get? @FEARLESS_JOCEY
anonymous
  • anonymous
Absolutely!
anonymous
  • anonymous
Sorry I ran out of room but we're almost done… We would get: -16 = 7x
anonymous
  • anonymous
Wait… did I do something wrong? The answer isn't in any of the answer choices.
anonymous
  • anonymous
okay, and we divide right?
anonymous
  • anonymous
Yes :)
anonymous
  • anonymous
|dw:1433695181670:dw|
anonymous
  • anonymous
I'm not to sure how to divide it when it is a negative number.
anonymous
  • anonymous
@Aureyliant I think you messed up somewhere because there is no way that the answer is -2 @FEARLESS_JOCEY look back at my comment and look at how io explained it i got the correct answer
anonymous
  • anonymous
Yes… you did. The answer is x = -16. I checked my work and I didn't see anything incorrect.
anonymous
  • anonymous
@Michele_Laino Do you see where I may have gone wrong?
anonymous
  • anonymous
if you divide -16 by 7 you get -2.28 You went wrong by adding positive 4x to -3x and getting positive 7x when it should have been positive 1x
anonymous
  • anonymous
@Aureyliant
Michele_Laino
  • Michele_Laino
I'm pondering...@Aureyliant
anonymous
  • anonymous
You're supposed to take the inverse of -4x = +4x. When you take it to the other side of the equation, it must become the opposite sign.
anonymous
  • anonymous
Oh! I see where i went wrong. It was supposed to be -3x + 4x = 1x.
anonymous
  • anonymous
I understand that but -3x did not change signs and it should have become 1x instead of positive 7x You also subtracted -3 from -10 and got 013 and then you subtracted -3 again
anonymous
  • anonymous
I forgot the negative three. I apologize.
Michele_Laino
  • Michele_Laino
I got thise expression: -4x-13=-3x+3 then adding 4x to both sides, we get: -13=x+3
Michele_Laino
  • Michele_Laino
this*
anonymous
  • anonymous
|dw:1433695538968:dw|
anonymous
  • anonymous
See you guys are forgetting to cross out the three after you have moved it to the opposite side of the equation and you are ending up with an extra 3
anonymous
  • anonymous
I sincerely apologize… I've never made this kind of silly mistake before
anonymous
  • anonymous
Great job catching my mistake though Vet! :)
Michele_Laino
  • Michele_Laino
no worries :) @Aureyliant
anonymous
  • anonymous
|dw:1433695655850:dw|
anonymous
  • anonymous
|dw:1433695677593:dw|
anonymous
  • anonymous
No problem! I make those kinds of mistakes every once in a while as well. I always re check my work! @FEARLESS_JOCEY do you understand what the correct answer is
anonymous
  • anonymous
@Aureyliant you have already moved the -3 over to get -13 you do not need to subtract it again to get -16
anonymous
  • anonymous
I understand it.
anonymous
  • anonymous
No… I didn't. The answer is B.
anonymous
  • anonymous
I'm not sure if it is B or D now. Lol, I'm so confused
anonymous
  • anonymous
It's 100% B. I didn't already subtract 3 to get -13… that was an earlier step with another -3. http://prntscr.com/7e7rjb
anonymous
  • anonymous
I think they set it up that way to make it confusing for the student.
anonymous
  • anonymous
@Aureyliant look back at your quation you subracted 3 to get -13, but then you subtracted the 3 again to get -16 but you are not suppossed to because you gave already used it
anonymous
  • anonymous
No, that was when I was combining like terms after distribution.
anonymous
  • anonymous
-3 was already there since the beginning.
anonymous
  • anonymous
There are 2 "-3"s
anonymous
  • anonymous
|dw:1433695928056:dw|
anonymous
  • anonymous
|dw:1433695967551:dw|
anonymous
  • anonymous
Look… Let me do the problem again.
anonymous
  • anonymous
OMG you are so right I am so sorry i feel like a moron! @FEARLESS_JOCEY the answer is B
anonymous
  • anonymous
@Aureyliant
anonymous
  • anonymous
You don't need to work it out again I understand where i messed up
anonymous
  • anonymous
|dw:1433696003482:dw|
anonymous
  • anonymous
Too late haha :)
anonymous
  • anonymous
Such a long thread. Well that's all for now… TEAMWORK! Hope this helped, Jocey! :)
anonymous
  • anonymous
Tag me if you need any more help.
anonymous
  • anonymous
okay I will. THANKS GUYS!

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