1.1 Linear Equations Solving a Linear Equation with Faction Coefficients January 12, 2018 admin Example: Solve the equation. Solution: Solve the equation by clearing fractions. The least common multiple of the denominators is 18. Multiply the least common multiple by each term. *** As you simplify, the fractions cancel. *** Use the distributive property and combine like terms. Move the variables to one side of the equation and simplify. Get the variable by itself on one side of the equation by adding 18 on both sides and dividing by -9.