Solve x-a/b=c

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

Solve for a

$$a=x-bc$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$x-a=cb$$

Subtract x from both sides.

$$-a=cb-x$$

The equation is in standard form.

$$-a=bc-x$$

Divide both sides by -1.

$$\frac{-a}{-1}=\frac{bc-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$a=\frac{bc-x}{-1}$$

Divide cb-x by -1.

$$a=x-bc$$

Solve for b

$$\left\{\begin{matrix}b=\frac{x-a}{c}\text{, }&x\neq a\text{ and }c\neq 0\\b\neq 0\text{, }&c=0\text{ and }x=a\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$x-a=cb$$

Swap sides so that all variable terms are on the left hand side.

$$cb=x-a$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{x-a}{c}$$

Dividing by c undoes the multiplication by c.

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

Variable b cannot be equal to 0.

$$b=\frac{x-a}{c}\text{, }b\neq 0$$