Solve h-13/x=-2

$$\frac { h - 13 } { x } = - 2$$

Solve for h

$$h=13-2x$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$h-13=-2x$$

Add 13 to both sides.

$$h=-2x+13$$

Solve for x

$$x=\frac{13-h}{2}$$

$$h\neq 13$$

Steps for Solving Linear Equation

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

$$h-13=-2x$$

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

$$-2x=h-13$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{h-13}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{h-13}{-2}$$

Divide h-13 by -2.

$$x=\frac{13-h}{2}$$

Variable x cannot be equal to 0.

$$x=\frac{13-h}{2}\text{, }x\neq 0$$