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Mathematics 21 Online
OpenStudy (anonymous):

help! Solving for x

OpenStudy (anonymous):

\[\frac{ 2x-4 }{ 5 }+\frac{ x-1 }{ 10 }=\frac{ 3x-5 }{ 10 }\]

OpenStudy (anonymous):

Answers are: -3 6 2

OpenStudy (anonymous):

\[\frac{ 10(2x-4) }{ 5 }+\frac{ 10(x-1) }{ 10 }=\frac{ 10(3x-5) }{ 10}\] this is as far as I've gotten

OpenStudy (anonymous):

\[2(2x-4) + x-1 = 3x-5\]

OpenStudy (anonymous):

\[4x - 8 + x -1 = 3x -5\]

OpenStudy (anonymous):

want me to continue or you can take it from here?

OpenStudy (anonymous):

I need you to continue please, i'm very lost right now

OpenStudy (anonymous):

oh wait do you add the like terms together at stuff?

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

Did you understand what i did in the first line i wrote?

OpenStudy (anonymous):

not exactly and i tried that I'm getting a wierd answer like 12

OpenStudy (anonymous):

I have so many problems like this that I don't understand

OpenStudy (anonymous):

the answer i got is 6

OpenStudy (anonymous):

I multiplied the whole equation by 10. so i can remove the fraction lines. here:\[\frac{ 2x - 4 }{5 }\] the denominator is 5 so \[10 \times \frac{ 2x - 4 }{ 5 } = 2(2x-4)\] on the other two the denominator is 10 so only the numerator stays.

OpenStudy (anonymous):

yeah I looked at my paper and realized I had the exact same thing! lol.. But is my answer correct?

OpenStudy (anonymous):

No it's not 6.

OpenStudy (anonymous):

I don't get that then.

OpenStudy (anonymous):

do you understand what i did on order to get to 4x−8+x−1=3x−5 ?

OpenStudy (anonymous):

yeah that's what I did.

OpenStudy (anonymous):

so here's what you need to do next: \[4x - 3x + x = -5 + 8 + 1\] \[2x = 4\] \[x = 2\]

OpenStudy (anonymous):

oh so you get all the x's on the same side? That makes sense. Can you help me with alot more by chance?

OpenStudy (anonymous):

Sure just post it.

OpenStudy (anonymous):

ok thanks. Give me a sec

OpenStudy (anonymous):

\[3=\frac{ x-4 }{ 3 }+ \frac{ 2 }{ 3 }\]

OpenStudy (anonymous):

answers are: 5 -13/3 11

OpenStudy (anonymous):

Ok here is the solution: I multiply everything by 3. so \[x-4 + 2 = 9\] understand that?

OpenStudy (anonymous):

yupp

OpenStudy (anonymous):

Can you continue from here?

OpenStudy (anonymous):

yupp! :)

OpenStudy (anonymous):

I think so

OpenStudy (anonymous):

Try and let me know.

OpenStudy (anonymous):

well i'm in class right now so give me a minute

OpenStudy (anonymous):

umm I'm not sure what I did but I got 1.5 can you help?

OpenStudy (anonymous):

I got 11

OpenStudy (anonymous):

Sure. \[x - 4 + 2 = 9\] I isolate the x: \[x = 9 + 4 - 2\] and now: \[x = 11\]

OpenStudy (anonymous):

wow hey I got it right lol thanks!

OpenStudy (anonymous):

No problem! If you have any more questions i'm here.

OpenStudy (anonymous):

alright thanks!

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