Question

6m+3= 2m-4/2

Can someone pls guide me through this question.

Answer 1

I know the answer but I forgot the steps...

Answer 2

what do you think should be done first?

Answer 3

I don't know... Like simplify both sides of the equation?

Answer 4

well ye, but you gotta chose what to do first.

We need to work backwards.

Let's first rid of the fraction. Since `2m-4` is being `divided by 2` we will `MULTIPLY by 2` on `both sides`.

\(\large\bf{(6m+3) \color{red}{\times 2}=\frac{2m-4}{2} \color{red}{\times 2}}\)

This simplifies to what?

Answer 5

Why do we multiply 2 and not subtract?

Answer 6

There are opposites to each type of sign.

When you multiply, the opposite is divide.

When you add, the opposite is subtract.

When you square root, the opposite is exponent.

Answer 7

Ye I know, but there is 6m+3 so shouldn't we subtract? Like i see the division in the equation....

Answer 8

We need to work on PEMDAS.

So we follow with the fraction first

Answer 9

Ohhhhhhh okay

Answer 10

cx

So what would it simplify to?

\(\bf\large{(6m +3) \color{red}{\times 2}=\frac{2m-4}{2} \color{red}{\times 2}}\)

Answer 11

we need to get rid of the fraction, so 6m+3=2m-2?

Answer 12

Remember that the division of 2 and the multiplying of 2 will cancel the two out.

Answer 13

ye, idk

Answer 14

You need to apply the multiplication of 2.

So...

\(\large\bf{(6m \color{red}{\times 2}) + (3 \color{red}{\times 2} )= 2m-4}\)

Answer 15

we distributed here?

Answer 16

yes

Answer 17

Wait, so (6m+3)*2=2m-4/2*2 simplifies to (6m×2)+(3×2)=2m−4 ?

Answer 18

well simplify the last part.

`6m x 2 = ?`
`3 x 2 = ?`

Answer 19

12m and 6

Answer 20

Correct.

So it simplified to:

\(\large\bf{12m+6=2m-4}\)

Now we need to get the variable to one side (making sure `m` is on one side).

Follow by PEMDAS, we see the `addition of 6` to `12` so we want to `SUBTRACT 6` from `BOTH SIDES`.

\(\large\bf{12m + 6 \color{red}{-6}=2m-4\color{red}{-6}}\)

What does that simplify to?

Answer 21

mmk, lemme copy this down, gemme a sec.

Answer 22

okie

Answer 23

12m=2m-4-6? Idk

Answer 24

Okie the left side is correct.

Now you just need to do:

\(\large\bf{-4-6 ~\rightarrow ~-4 + -6 =?}\)

Answer 25

-10

Answer 26

ye, so it now becomes:

\(\large\bf{12m=2m-10}\)

Now we need to get the `variable m` on one side.

So we see that `2m` is being subtracted with `10` , BUT `2m` is positive. So we need to `SUBTRACT 2M` from `both sides`.

\(\large\bf{12m \color{red}{-2m}=2m \color{red}{-2m} -10}\)

What does that simplify to?

Answer 27

10m=-10m

Answer 28

Well `2m - 2m` equals to 0, so all that would be left is -10.

Answer 29

So you have:

\(\large\bf{10m=-10}\)

We need to get the variable to itself. We see that `10` is being `multiplied` to `m`,so we would `DIVIDE` by `10` to get `m` to itself. We do this on `both sides`.

\(\huge\bf{\frac{10m}{\color{red}{10}} = \frac{-10}{\color{red}{10}}}\)

So what does `m` equal?

Answer 30

-1

Answer 31

Nice cx

Answer 32

Very much appreciated!!!

Answer 33

your very welcome cx