if you want to have it easier(without fractions) multiply the equation by the LCM of 14,7,8
hero (hero):
Mandy, subtract 6/7 from both sides
hero (hero):
Oh, and please unblock me
OpenStudy (anonymous):
I blocked you? how
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hero (hero):
If you subtract 6/7 from both sides you end up with
\[\frac{ x+2 }{ 14 } - \frac{ 6 }{ 7 } = \frac{ x-8 }{ 8 }\]
hero (hero):
I don't know but hover over my name and click "unblock"
OpenStudy (anonymous):
Oh sorry
OpenStudy (anonymous):
I didnt know i did
hero (hero):
So anyway, now multiply 6/7 by 2/2
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OpenStudy (anonymous):
cross multiply?
hero (hero):
No, just muliply
\[\frac{6}{7} \times \frac{2}{2}\]
hero (hero):
Mandy, we're almost done. What's the matter?
OpenStudy (anonymous):
sorry my kid spilt juice all over the floor
OpenStudy (anonymous):
12/14
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OpenStudy (anonymous):
?
hero (hero):
Okay, so now we have
\[\frac{ x+2 }{ 14 } - \frac{12 }{14 } = \frac{ x-8 }{ 8 }\]
hero (hero):
We can combine fractions on the left since the denominators are the same
hero (hero):
Do you remember how I did that the first time?
OpenStudy (anonymous):
12x+24/14 = x-8/8
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OpenStudy (anonymous):
16x+192=14x-112
hero (hero):
\[\frac{ x+2 - 12 }{ 14 } = \frac{ x-8 }{ 8 }\]
hero (hero):
That's what you should have gotten
hero (hero):
Now study how I got that
OpenStudy (anonymous):
ok
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hero (hero):
You have to simplify the left side now. Let me know what you get.
OpenStudy (anonymous):
x-10/14
hero (hero):
\[\frac{ x-10 }{ 14 } = \frac{ x-8 }{ 8 }\]
Okay, now all you have to do is cross multiply and continue solving
OpenStudy (anonymous):
8x-80=14x-112
hero (hero):
Okay, continue solving for x
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hero (hero):
You might get a fraction for x
hero (hero):
Don't forget to simplify the result, whatever you get.
hero (hero):
Mandy, are you there?
OpenStudy (anonymous):
Dang my internet froze on here
Im back now
hero (hero):
ok
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OpenStudy (anonymous):
so I got 8(x-10)=14(x-8)
hero (hero):
I could have sworn you did the next step already. The last thing you showed me was
8x - 80 = 14x - 112
Afterwards, I informed you to continue solving for x.
OpenStudy (anonymous):
-6=-32
hero (hero):
Why do you keep forgetting the x?
OpenStudy (anonymous):
i dont know sorry
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hero (hero):
\(-6 \ne -32\)
OpenStudy (anonymous):
x=-32/6
hero (hero):
x is not negative
OpenStudy (anonymous):
x=16/3
hero (hero):
It was only supposed to take five minutes or less to get through this.
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OpenStudy (anonymous):
lol for you but for me a problem can take me hours if i dont understand it