Mathematics
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OpenStudy (anonymous):
2(x – 7) = 10x + 18
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OpenStudy (anonymous):
You need to use the distributive property.
OpenStudy (anonymous):
So 2x-7=10x+18
OpenStudy (anonymous):
im sorry 2x-18=10x+18
pooja195 (pooja195):
|dw:1453944265740:dw|
OpenStudy (anonymous):
what happened to the 7
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pooja195 (pooja195):
still there...
OpenStudy (anonymous):
you used the distributive property and multiplied it by 2.
OpenStudy (anonymous):
and you multiplied x by 2 to get rid of the parenthesis.
OpenStudy (anonymous):
so 2*7 - 2*x?
OpenStudy (anonymous):
@samarbaig12
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OpenStudy (anonymous):
no 2*x-2*7 you keep the numbers where you found them
OpenStudy (anonymous):
so now you need to solve for x
OpenStudy (kendricklamar2014):
Simplify:
\[2(x−7)=10x+18\]
Distribute: \[(2)(x)+(2)(−7)=10x+18\]
\[= 2x+−14=10x+18\]
\[2x−14=10x+18\]
OpenStudy (kendricklamar2014):
Subtract 10x from both sides: \[2x−14−10x=10x+18−10x\]
What does that equal? @LoveIt
OpenStudy (anonymous):
or you could subtract 2x from each side
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OpenStudy (anonymous):
um 4 and 8?
OpenStudy (kendricklamar2014):
\[2x - 10x = ?\]
OpenStudy (anonymous):
-8
OpenStudy (kendricklamar2014):
Yes, so the equation would look like this: \[−8x−14=18\]
Now, add 14 to both sides: \[−8x−14+14=18+14\]
What does: \[-14 + 14 = ?\]
\[18 + 14 = ?\]
OpenStudy (kendricklamar2014):
@LoveIt
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OpenStudy (anonymous):
oh 32
OpenStudy (kendricklamar2014):
Yes, so it would look like this: \[−8x=32\]
Now, divide both sides by -8: \[\frac{ -8x }{ -8 } = \frac{ 32 }{ -8 }\]
OpenStudy (kendricklamar2014):
What does that equal? ^ @LoveIt
OpenStudy (anonymous):
-4
OpenStudy (kendricklamar2014):
Yes, so the answer is: x=−4
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OpenStudy (anonymous):
Think of this...
|dw:1453945036113:dw|
a negative times a negative is a positive. Sorry for awful handwriting...ope Dorito Dude helped!