Solve for x ax+b=c+d

$a x + b = c + d$

Subtract $b$ from both sides of the equation.

$a x = c + d - b$

Divide each term in $a x = c + d - b$ by $a$ and simplify.

Divide each term in $a x = c + d - b$ by $a$ .

$\frac{a x}{a} = \frac{c}{a} + \frac{d}{a} + \frac{- b}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{c}{a} + \frac{d}{a} + \frac{- b}{a}$

Divide $x$ by $1$ .

$x = \frac{c}{a} + \frac{d}{a} + \frac{- b}{a}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{c}{a} + \frac{d}{a} - \frac{b}{a}$