# How do you solve each equation for x: mx+nx=p?

Nov 16, 2016

$x = \frac{p}{m + n}$

#### Explanation:

Take x out as a $\textcolor{b l u e}{\text{common factor}}$ on the left side of the equation.

$\Rightarrow x \left(m + n\right) = p$

To solve for x, divide both sides by (m + n)

$\frac{x \cancel{\left(m + n\right)}}{\cancel{\left(m + n\right)}} = \frac{p}{m + n}$

$\Rightarrow x = \frac{p}{m + n} \text{ is the solution}$