Optional extension Express $x$ as the subject of $\dfrac{x-m}{p}+\dfrac{x-n}{q}=\dfrac{k}{pq}$.

Question

Optional extension Express $x$ as the subject of $\dfrac{x-m}{p}+\dfrac{x-n}{q}=\dfrac{k}{pq}$. Assume $p,q,p+q\ne0$.

Accepted Answer

$x=\dfrac{k+qm+pn}{p+q}$.

Rational equation and subject change