Question

3/4(8+4x) - 1/3(6x+3)=


Solve using common denominators.

Answer 1

So, just to make sure, this is the problem you're looking for, right?:
\[\frac{ 3 }{ 4 } (8+4x) - \frac{ 1 }{ 3 }(6x+3)=0\]

Answer 2

no sorry it equals 9 :P

Answer 3

\[\frac{ 3 }{ 4 }(8+4x) - \frac{ 1 }{ 3 }(6x+3)= 9\]

Answer 4

Okay great! :) So, to start off, you would want to distribute the '3' in the 3/4 to (8+4x). So, that would be:
\[\frac{ 24+12x }{ 4 }\]
Then, you would do the same to the other fraction- it would be:
\[\frac{ 6x+3 }{ 3 }\]

Now, you want to get common denominators. Do you think you've got it from here? If not, let me know. :)

Answer 5

Oh i see. I think I got it. But wait a sec, let me check if i can get the answer. ;D

Answer 6

Okay, just let me know what you get and I'll tell you if it's right!

Answer 7

\[\frac{ 48+12x }{ 12 }\]

Answer 8

is that it?

Answer 9

so its : \[4+x\]

Answer 10

wait i fogot there is a 9. Sorry

Answer 11

forgot*

Answer 12

so is the answer x=5?

Answer 13

Well, not quite- You want to multiply the top and bottom of 24+12x/4 by 3, so it would be 72+36x/12. And you'd want to multiply the top and bottom of 6x+3/3 by 4, so it would be 24x+12/12 ... Normally! But you can't forget that the two are being subtracted, so you have to make the second one -24x-12/12. Then, just put the tops together, simplify, and you're almost there!

\[\frac{ 72+36x-24x-12 }{ 12 }\]

Simplify further...

\[\frac{ 60+12x }{ 12 }\]

And don't forget that you can take '12' out of '60', so this simplifies up beautifully to:

\[\frac{ 12(5+x) }{ 12 }\]

And from that to be:

5+x=9
-5 -5
x=4.

Answer 14

oh. Yes i see now. Thank You! :D

Answer 15

i forgot to change the 12 to a negative

Answer 16

No problem! :D