# How do you solve 3m+2=4?

Mar 23, 2017

See the entire solution process below:

#### Explanation:

Step 1) subtract $\textcolor{red}{2}$ from each side of the equation to isolate the $m$ term while keeping the equation balanced:

$3 m + 2 - \textcolor{red}{2} = 4 - \textcolor{red}{2}$

$3 m + 0 = 2$

$3 m = 2$

Step 2) Divide each side of the equation by $\textcolor{red}{3}$ to solve for $m$ while keeping the equation balanced:

$\frac{3 m}{\textcolor{red}{3}} = \frac{2}{\textcolor{red}{3}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} m}{\cancel{\textcolor{red}{3}}} = \frac{2}{3}$

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

Mar 23, 2017

$\frac{2}{3}$

#### 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

$3 m = 2$

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

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

Mar 23, 2017

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

#### Explanation:

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

$3 m + \cancel{2 - 2} = 4 - 2 \to 3 m = 2$

Now we can simply divide $3$ on both sides

$\cancel{\frac{3}{3}} m = \frac{2}{3} \to m = \frac{2}{3}$

We can verify the solution by substituting $\frac{2}{3}$ into the given equation like so:

$3 \cdot \frac{2}{3} + 2 = 4$

$\frac{6}{3} + 2 = 4$

$2 + 2 = 4$

$4 = 4$ So we definitely correct!