How do you solve 3m+2=4?

3 Answers
Mar 23, 2017

See the entire solution process below:

Explanation:

Step 1) subtract color(red)(2) from each side of the equation to isolate the m term while keeping the equation balanced:

3m + 2 - color(red)(2) = 4 - color(red)(2)

3m + 0 = 2

3m = 2

Step 2) Divide each side of the equation by color(red)(3) to solve for m while keeping the equation balanced:

(3m)/color(red)(3) = 2/color(red)(3)

(color(red)(cancel(color(black)(3)))m)/cancel(color(red)(3)) = 2/3

m = 2/3

Mar 23, 2017

2/3

Explanation:

So first we want to get all terms with m by itself. In this case that means we are going to subtract 2 from both sides so it looks like this

3m=2

Now to get m all by itself, we will divide both sides by three so it looks like

m=2/3

Mar 23, 2017

m=2/3

Explanation:

We want to isolate the variable so we began by subtracting 2 from both sides.

3m+cancel(2-2)=4-2 -> 3m=2

Now we can simply divide 3 on both sides

cancel(3/3)m=2/3 -> m=2/3

We can verify the solution by substituting 2/3 into the given equation like so:

3*2/3+2=4

6/3+2=4

2+2=4

4=4 So we definitely correct!