Move to the left side of the equation by subtracting it from both sides.

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

Simplify terms.

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Move to the left of .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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

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 .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Multiply by .

Add and .

Since this is the only denominator in the list, the result is the LCD: .

Multiply each term in by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Solve for r (r+3/2)=(4r-5)/9