SOLUTION: So I have to do a problem right, they gave an example but I don't understand how they got their answer. I'm in geometry so they expect me to know it already. Here is the example pr

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Question 215467: So I have to do a problem right, they gave an example but I don't understand how they got their answer. I'm in geometry so they expect me to know it already. Here is the example problem:
3n+3=2n+6
3n=2n+3
n=3
How did they get n=3??
I don't get it.

Found 3 solutions by stanbon, vleith, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3n+3=2n+6
---
Subtract 2n from both sides to get:
n + 3 = 6
Subtract 3 from both sides to get:
n = 3
===================
Cheers,
Stan H.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
3n%2B3=2n%2B6 subtract 3 from each side to get
3n=2n%2B3 subtract 2n from each side to get
n=3

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

You're in geometry, but this is algebra. 
Do you remember any algebra?

n stands for an unknown number

3n + 3 = 2n + 6

There are 2 terms on the left, 3n and 3 
3n is a "letter term" and 3 is a 
"plain number" term.

There are two terms on the right, 2n and 6
2n is a "letter term" and 3 is a "plain number"
term.

We want ONLY "letter terms" on the left
and ONLY "plain number" terms on the right.

We get rid of the number term 3 on the left
by subtracting 3 from both sides like this:

3n + 3 = 2n + 6 
   - 3      - 3
---------------
3n + 0 = 2n + 3

We can eliminate the "+ 0" and just have

    3n = 2n + 3

Now we get rid of the letter term 2n on the right
side by subtracting 2n from both sides like this:

    3n = 2n + 3
   -2n  -2n 
   ------------
    1n =  0 + 3

We can eliminate the 0 and have
 
    1n = 3

Now we can eliminate the 1 because there is
no difference between n and 1n.  So we can
just write

     n = 3 

This is algebra you're doing,
not geometry, but there is algebra in
geometry.

Edwin