# How do you solve for d in ax+b=cx+d ?

Sep 25, 2016

$d = \left(a - c\right) x + b$

#### Explanation:

Given: $a x + b = c x + d$

Subtract $c x$ from both sides $\to a x + b - c x = c x + d - c x$

$a x + b - c x = d$

Group terms in $x$:

$a x - c x + b = d$
$\left(a - c\right) x + b = d$

$\therefore d = \left(a - c\right) x + b$

NB: With little practice you should be able to skip some of these steps