Multiply each term in the inequality by .

Combine and .

Multiply by .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Subtract from each section of the inequality because it does not contain the variable we are trying to solve for.

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

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

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

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Divide each term in the inequality by .

Multiply by .

Multiply by .

Multiply and .

Multiply by .

Cancel the common factor.

Divide by .

Move the leading negative in into the numerator.

Move the leading negative in into the numerator.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Multiply by .

Multiply by .

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

Solve for x 2/3<(5-6x)/4<11/12