Steps for Solving Linear Equations

The goal of solving LINEAR equations is to ISOLATE the VARIABLE to one side of the “equals” sign.

1. Eliminate fractions by multiplying EACH TERM ON BOTH SIDES of the equation by the lowest common denominator. This step ensures that all denominators will cancel out.

2. Use the distributive property to remove symbols of grouping.

3. Combine like terms on each side of the equation.

4. If the variable appears on both sides of the equation, move the smaller variable term to the other side. This step will ensure that your variable is on one side only.

5. “Undo” the adding and subtracting portions of the equation. Add or subtract numbers and letters to move them AWAY from the variable.

6. “Undo” the multiplying and dividing portions of the equation. Divide or multiply numbers and letters to move them AWAY from the variable.

7. Check your solution: For an equation, substitute your answer into the original equation to ensure that a true equality statement results.