Solve for x mx+nx=p

$m x + n x = p$

Step 1

Factor $x$ out of $m x + n x$ .

Factor $x$ out of $m x$ .

$x m + n x = p$

Factor $x$ out of $n x$ .

$x m + x n = p$

Factor $x$ out of $x m + x n$ .

$x (m + n) = p$

Step 2

Divide each term in $x (m + n) = p$ by $m + n$ and simplify.

Divide each term in $x (m + n) = p$ by $m + n$ .

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

Simplify the left side.

Cancel the common factor of $m + n$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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