Combine and .

Move to the left of .

Subtract from both sides of the inequality.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Subtract from .

Move to the left of .

Move the negative in front of the fraction.

Subtract from both sides of the inequality.

Subtract from .

Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Multiply .

Multiply by .

Multiply by .

Multiply by .

Multiply both sides of the equation by .

Multiply by .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

The result can be shown in multiple forms.

Inequality Form:

Interval Notation:

Solve for x 7-2/3x<x-8