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

Multiply each term in the inequality by .
Multiply .
Combine and .
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move all terms not containing from the center section of the inequality.
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 .
Multiply by .
Multiply by .
Multiply and .
Multiply by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of .
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.
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