# How do you solve 4/5m+2=6?

Dec 23, 2016

$m = 5$

#### Explanation:

The first thing to do is isolate the $m$ term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$\frac{4}{5} m + 2 - \textcolor{red}{2} = 6 - \textcolor{red}{2}$

$\frac{4}{5} m + 0 = 4$

$\frac{4}{5} m = 4$

Now, solve for $m$ while keeping the equation balanced:

$\textcolor{red}{\frac{5}{4}} \cdot \frac{4}{5} m = \textcolor{red}{\frac{5}{4}} \cdot 4$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{4}}}} \cdot \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{4}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} m = \frac{5}{\textcolor{g r e e n}{\cancel{\textcolor{b l a c k}{4}}}} \cdot \textcolor{g r e e n}{\cancel{\textcolor{b l a c k}{4}}}$

$m = 5$