Solve for x -ax=b-c

$- a x = b - c$

Divide each term in $- a x = b - c$ by $- 1 a$ .

$\frac{- a x}{- 1 a} = \frac{b}{- 1 a} + \frac{- c}{- 1 a}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{a x}{a} = \frac{b}{- 1 a} + \frac{- c}{- 1 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{b}{- 1 a} + \frac{- c}{- 1 a}$

Divide $x$ by $1$ .

$x = \frac{b}{- 1 a} + \frac{- c}{- 1 a}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{b}{a} + \frac{- c}{- 1 a}$

Dividing two negative values results in a positive value.

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