math help part 2?

Question

5n-37=3n-55


why do u subtract 3n first
why not add 37 or 55 or subtract 5n??
please explain


i found out the answer is -9 thx
but what exactly are the steps like not on this problem in general

Answer 1

You can do algebra in any order as long as you do the same thing to both sides. Basically to solve this problem you want to get 'n' on one side and numbers on the other.

So first you add 37 to both sides.
5n-37+37=3n-55+37
5n=3n-18
Then you subtract 3n from both sides.
5n-3n=3n-18-3n
2n=-18
Finally you divide both sides by 2
2n/2=-18/2
n=-9

Algebra works no matter which order you do them in, as long as you do the same to both sides. This is because of the assumption that if two things are equal, doing the same thing to two equal things will not make them different (they would stay equal).

Answer 2

First: our goal is solving for "x" > let's keep "x" on one side and other variables on the opposite side:

Second: add 37 to both sides:

5n - 37 + 37 = 3n - 55 + 37
5n = 3n - 18

Third: subtract 3n from both sides:

5n - 3n = - 18
2n = -18

Fourth: divide everything by 2:

2n/2 = -18/2
n = -9

Answer 3

If you solving for the variable.
1) get all the variables on one side and all the number on the other
2)combine
3)then just solve
with this problem 5n-37=3n-55 is 5n-3n= - 55+ 37, (when you move somthing to the opposit side, the sign changes) thats 2n=
- 18 which you already know means n= -9 because -18 divided by 2 = -9. With one variable, I believe they will all solve in a similar fashion.

Answer 4

You can do any of the above in any order.

I like to have the variable on the left, and the numbers on the right. if you prefer the opposite, that's fine too.

5n-37=3n-55
-3n = -3n
==========
2n - 37 = -55
+37 = +37
==========
2n = -18
divide each side by 2:

n = -9

Answer 5

5n-37=3n-55 Expanded the problem reads
5 multiplied by n - 37 = 3 multiplied by n -55

you must do the multiply part first or you will get the wrong answer...

Answer 6

You should get the same answer no matter which value you add or subtract first.

Let's see:
5n = 3n - 18
2n = -18
n = -9

If for whatever reason your teacher requires you to subtract 3n first, they may just be a little anal. The order doesn't matter, you'll get the same answer no matter what.

Answer 7

5n-37=3n-55
adding -3n+37
2n=-18
dividing by 2
n=-9

Answer 8

5n-37=3n-55
+37 +37
5n = 3n - 18
-3n -3n
2n = -18
2n/2 -18/2
n = -9

or think of it this way
5n-37=3n-55
5n-37 +37 = 3n -55 +37
5n = 3n -18
5n -3n = 3n - 3n -18
2n =-18
2n/2 = -18/2
n = -9

Answer 9

5n - 3n = -55 - (-37)

2n = 37-55

2n = -18

n = -18/2 = -9

Answer 10

As you get more experienced with these types of math problems you will be able to do them by inspection.
The basic principle is to isolate the variable n and determine it's value.

For me I think of the expression (37-3n) being added to both sides and then dividing both sides by 2 to get the answer -9.

j