Solve for n and show your work.
2/3n+6=1/4n-3

Question

anonymous · Answer

Regroup and reduce.

candyme · Answer

I know how to solve this type, but I have done it several times and gotten it wrong.

anonymous · Answer

So, try to get it so that n is only on one side of the equation. Any idea how we can do that?

anonymous · Answer

Okay, well walk me through your steps. We'll figure out where you've gone wrong.

candyme · Answer

First I made the two fractions the same denominator so I could group them.
It turned into  8/12n+6=3/12n-3. 
                  +3/12       +3/12
                  11/12n+6=-3
                             -6   -6
                       11/12n=-9
                                n=-9.81818181

anonymous · Answer

You changed the denominator correctly, but check your second step.

anonymous · Answer

8/12 + 3/12 = 11/12 like you said. However, 3/12 + 3/12 =0?

candyme · Answer

OH now I see... I should have subtracted it
so it would be 5/12n+6=-3
                              -6 -6
                                  -9
                           5/12n=-9
                                  n=-21.6
Thanks!

anonymous · Answer

My pleasure =) Good work.

anonymous · Answer

No he was right. Multiply both sides by 12/5.
5/12* n * 12/5 = -9 * (12/5)
(12*5)/(12*5)*n = -108/5
1*n = -21.6
n = -21.6

I think the n was never meant to be in the denominator.

candyme · Answer

I got it right with -21.6 Thanks to all who helped :)

candyme · Answer

No,the equation is 2/3 n +6= 1/4 n -3