Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

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 .

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.

Multiply by .

Apply the distributive property.

Move to the left of .

Multiply by .

Add and .

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.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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

Multiply each term in by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by .

Multiply by .

Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Solve for a (a-3)/2=(3a)/4+(a-19)/6