4m + 10 = 14 − 2m

I tried to figure this out but i can't can some one please explain to me?

Question

4m + 10 = 14 − 2m

I tried to figure this out but i can't can some one please explain to me?

studygurl14 · Answer

Your goal is to get m alone on what side of the equation. To do that, you have to rearrange terms in the equation. You can move  terms from one side of the equal sign to the other by doing the opposite of that term.

anonymous · Answer

Are you trying to factor it ?

anonymous · Answer

When i get it alone it doesn't equal what the 4 answers are.

anonymous · Answer

The answers are 4
6
3/2
2/3

studygurl14 · Answer

4m + 10 = 14 - 2m

You can move the -2m to the other side by adding 2m because (-2m + 2m = 0)
4m + 10 = 14 - 2m
4m + 2m + 10 = 14 + 0

studygurl14 · Answer

4m and 2m can be combined into 6m
6m + 10 = 14

studygurl14 · Answer

next, move the 10 over to the right side of the equation. Do you know how to do that?

anonymous · Answer

yes i do now its a two step equation

anonymous · Answer

But i still can't' get the answer because i tried that already.

studygurl14 · Answer

Let's take this step by step.
What's the next step?

anonymous · Answer

do the opposite of addition correct? so 14-10

studygurl14 · Answer

correct. And you would get?

anonymous · Answer

4

studygurl14 · Answer

right. So you are left with what equation?

anonymous · Answer

6m = 4

studygurl14 · Answer

correct. now what? remember, you want to isolate the m. right now, the m is being multiplied by 6. What is the opposite of multiplying by 6?

anonymous · Answer

dividing

studygurl14 · Answer

correct. So what would be the result?

anonymous · Answer

Which then it goes into a repeating .6

anonymous · Answer

I have trouble converting into fractions from decimals.

anonymous · Answer

So i might mess the other part up.

studygurl14 · Answer

You don't need to convert from fraction to decimal.

anonymous · Answer

4
6
3/2
2/3

anonymous · Answer

Are the answer choices

studygurl14 · Answer

Okay, so you have 
m = 4/6
right?

anonymous · Answer

yes

studygurl14 · Answer

you can simplify that fraction without turning it into a decimal. Do you know how?

anonymous · Answer

Yes

studygurl14 · Answer

okay, so what do you get?

anonymous · Answer

2/3

studygurl14 · Answer

Right! That's your answer

anonymous · Answer

Thank you i am also confused with one more.

studygurl14 · Answer

You're welcome. 
Feel free to post your other question after closing this one and link me to it. :)

studygurl14 · Answer

Do you know how to give medals to people who help you?

anonymous · Answer

yes i do

studygurl14 · Answer

:)