Answer
$x=\frac{p}{m+n}$
Work Step by Step
We are trying to isolate the variable $x$ in the equation $mx+nx=p$
To do this, first we will factor out the $x$ using the distributive property: $x(m+n)=p$
Then, we will divide by $m+n$ to isolate $x$: $x=\frac{p}{m+n}$