Split the fraction into multiple fractions.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

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 .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Subtract from .

Move the negative in front of the fraction.

Multiply each term in the inequality by .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Cancel the common factor of .

Move the leading negative in into the numerator.

Cancel the common factor.

Rewrite the expression.

Simplify each term.

Multiply .

Combine and .

Multiply by .

Multiply .

Multiply by .

Combine and .

Move the negative in front of the fraction.

Combine the numerators over the common denominator.

Subtract from .

Multiply each term in the inequality by .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Combine and .

Multiply by .

Move the negative in front of the fraction.

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 1/15<(5-3x)/15<2/3