Solve 1/3-8a=x-8

$$\frac { 1 } { 3 } - 8 a = x - 8$$

Solve for a

$$a=-\frac{x}{8}+\frac{25}{24}$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$-8a=x-8-\frac{1}{3}$$

Subtract \frac{1}{3} from -8 to get -\frac{25}{3}.

$$-8a=x-\frac{25}{3}$$

Divide both sides by -8.

$$\frac{-8a}{-8}=\frac{x-\frac{25}{3}}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$a=\frac{x-\frac{25}{3}}{-8}$$

Divide x-\frac{25}{3} by -8.

$$a=-\frac{x}{8}+\frac{25}{24}$$

Solve for x

$$x=\frac{25}{3}-8a$$

Solution Steps

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

$$x-8=\frac{1}{3}-8a$$

Add 8 to both sides.

$$x=\frac{1}{3}-8a+8$$

Add \frac{1}{3} and 8 to get \frac{25}{3}.

$$x=\frac{25}{3}-8a$$