Simplify .

Apply the distributive property.

Combine and .

Combine and .

Move the negative in front of the fraction.

Move all terms containing to the left side of the inequality.

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.

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Rewrite as .

Move the negative in front of the fraction.

Multiply each term in by

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 .

Simplify .

Apply the distributive property.

Multiply by .

Multiply by .

Move all terms not containing to the right side of the inequality.

Subtract from both sides of the inequality.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Use the inequality to build the set notation.

Convert to Set Notation 1/5(x-12)>x+16