Question

How do you solve `3m + 8 = 7m + 14`?

Answer 1

The answer is `m = -3/2`.

Explanation:

You have to start by getting all the variables on one side, either side will work. I personally put them on the left side. To do that, you have to use the inverse operations.

`3m+8=7m+14`

So, you have to subtract `7m` from both sides and subtract `8` from both sides, so now you should have

`-4m = 6.`

Now you have to divide by `-4` on both sides, this should leave you with

`m = 6/-4`

But we can simplify and get

`m = 3/-2`

And you can move the negative sign to the 3 if you wish so it becomes `-3/2`, as long as both of them aren’t negative.

Hope this helped!

Answer 2

`m=-3/2`

Explanation:

First, I'll switch the sides. No math yet. We have:

`7m+14=3m+8`

We can subtract `3m` from both sides to get:

`4m+14=8`

Our next step would be to subtract `14` from both sides. Notice, we're subtracting the constants from the constants, and the variables from the variables. We get:

`4m=-6`

Our last step would be to divide both sides by `4` to get:

`m=-3/2`