# How do you solve for x in ax-k=bx+h?

Mar 29, 2016

$\textcolor{g r e e n}{x} = \frac{h + k}{a - b}$

#### Explanation:

$\textcolor{g r e e n}{a x} - k = \textcolor{g r e e n}{b x} + h$

$\textcolor{g r e e n}{a x - b x} = h + k$

$\textcolor{g r e e n}{x} \left(a - b\right) = h + k$

$\textcolor{g r e e n}{x} = \frac{h + k}{a - b}$