Ask your own question, for FREE!
Mathematics 23 Online
OpenStudy (anonymous):

2(x – 7) = 10x + 18

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

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

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

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

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

OpenStudy (anonymous):

Think of this... |dw:1453945036113:dw| a negative times a negative is a positive. Sorry for awful handwriting...ope Dorito Dude helped!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!