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

Jun 5, 2018

$x = \frac{d - b}{a - c} , a - c \ne 0$

#### Explanation:

Isolate the terms with x:

$a x + b = c x + d$

$a x - c x = d - b$

factor out x:

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

divide:

$x = \frac{d - b}{a - c} , a - c \ne 0$