Solving Multi-Step Linear Equations with Fractions
If an equation contains fractions, multiply both sides of the equation by the least common denominator (LCD) to clear fractions.
Steps for solving a Multi-Step Equation:
Step 1 Clear the equation of fractions.
Step 2 Use the Distributive Property to remove parentheses on each side.
Step 3 Combining like terms on each side.
Step 4 Undo addition or subtraction.
Step 5 Undo multiplication or division.
The least common denominator (LCD) in this case is . So, multiply both sides of the equation by .
Use the distributive law on the left side of the equation.
Combine the like terms.
Undo multiplication. Divide each side by .