Solve x-6/a=-5

$$\frac { x - 6 } { a } = - 5$$

Solve for a

$$a=\frac{6-x}{5}$$

$$x\neq 6$$

Steps for Solving Linear Equation

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

$$x-6=-5a$$

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

$$-5a=x-6$$

Divide both sides by -5.

$$\frac{-5a}{-5}=\frac{x-6}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$a=\frac{x-6}{-5}$$

Divide x-6 by -5.

$$a=\frac{6-x}{5}$$

Variable a cannot be equal to 0.

$$a=\frac{6-x}{5}\text{, }a\neq 0$$

Solve for x

$$x=6-5a$$

$$a\neq 0$$

Solution Steps

Multiply both sides of the equation by a.

$$x-6=-5a$$

Add 6 to both sides.

$$x=-5a+6$$