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

Apr 23, 2018

The answer is $m = - \frac{3}{2}$.

#### 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.

$3 m + 8 = 7 m + 14$

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

$- 4 m = 6.$

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

$m = \frac{6}{-} 4$

But we can simplify and get

$m = \frac{3}{-} 2$

And you can move the negative sign to the 3 if you wish so it becomes $- \frac{3}{2}$, as long as both of them aren’t negative.

Hope this helped!

Apr 24, 2018

$m = - \frac{3}{2}$

#### Explanation:

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

$7 m + 14 = 3 m + 8$

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

$4 m + 14 = 8$

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:

$4 m = - 6$

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

$m = - \frac{3}{2}$