SOLUTION: n-2=4-2n please show work

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Question 265761: n-2=4-2n please show work
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


n-2=4-2n

addred%28%22%2B2%22%29 to both sides 

n-2red%28%22%2B2%22%29%22%22=4-2nred%28%22%2B2%22%29

The -2 and the red%28%22%2B2%22%29 cancel out on the left
The 4 and the red%28%22%2B2%22%29 combine to give 6 on the right:


n=6-2n


addred%28%22%2B%22%29red%28%222%22%29red%28%22n%22%29%29 to both sides

nred%28%22%2B%22%29red%28%222%22%29red%28%22n%22%29%29%22=%226-2nred%28%22%2B%22%29red%28%222%22%29red%28%22n%22%29%29

The terms on the left side combine to give 3n
The -2n and the red%28%22%2B%22%29red%28%222%22%29red%28%22n%22%29%29
cancel out on the right, and you have this left:

3n=6

Now we divide both sides by the coefficient of n which is 3

%283n%29%2Fred%283%29=6%2Fred%283%29

The 3's on the left cancel and leaves n.

%28cross%283%29n%29%2Fred%28cross%283%29%29=6%2Fred%283%29

The 6 divides by 3 on the right and gives 2

n=2

Edwin