Question

how to solve 8+4m=9m-7

Answer 1

Try to move all the "m"s to one side, and all the numbers that are by themselves to the other.

So, I'd add 7 to both sides first.

Then I'd subtract 4m.

Do these first and tell me what you get.

Answer 2

ok

Answer 3

so like 7 - 8

Answer 4

8+4m=9m-7

Add 7 to both sides.

8+4m + 7 = 9m-7 + 7

4m + 8 + 7 = 9m -7 + 7

4m + 15 = 9m + 0

4m + 15 = 9m

Now subtract them by 4m.

Answer 5

so 4m - 9m

Answer 6

Actually no, you subtract 4m, so 9m - 4m

Answer 7

So
4m + 15 -4m = 9m - 4m

or

15 = 9m - 4m

Answer 8

but dont you have to switch around like 9m - 4m = 15

Answer 9

Doesn't matter. Equals means equals.

Answer 10

true

Answer 11

So take it from there...

Answer 12

ok thank you

Answer 13

but before you do does it come up to being 9m divided by 9 =19 divided by 9

Answer 14

No you don't need to divide by 9. You first want to combine the "m"s.

So that's 9m - 4m = 5m. Make sense?

Answer 15

yes

Answer 16

In other words, your simplified equation is 15 = 5m

Answer 17

Now you can divide both sides by 5

Answer 18

and when you divide both sides by 5, you end up with 3=m (or m=3)

Answer 19

what sides 15=5

Answer 20

Sorry both sides of the equation.

Taking a step back:

15 = 9m - 4m

15 = 5m

\\[\frac{ 15 }{ 5 }=\frac{ 5m }{ 5 }\]

Answer 21

ok

Answer 22

\[\frac{ 15 }{ 5 }=3\]

Answer 23

\[\frac{ 5m }{ 5 }=m\]

Answer 24

what about 19-13= -17p -5

Answer 25

So this one isn't as complicated as it looks. You just have to cancel out all the numbers flying around this equation, then you'll end up with a negative P number that you'll have to turn into a positive.

Answer 26

First step is to simplify it so that you're down to a single number equaling a multiple of P:

On the left side, you have \[19-13=6\]

So right away you can reduce the equation to
\[6= -17p -5\]

Answer 27

Next step is to get rid of the -5 on the right side, so you add 5 to both sides and get:
\[11=-17p\]

Answer 28

Now you have a much easier to read equation.
So how do you solve for P? You have to divide both sides by -17, right?

\[11\div -17=\frac{ -11 }{ 17 }\]
and of course
\[-17p \div-17=p\]
so
\[\frac{ -11 }{ 17 }=p\]