The following steps will help you solve linear equations.
Example 1
Solve the equation below for
Solution
Let's see these steps in action.
Step 1: Expand the brackets.
Step 2: Gather terms:.
Step 3: Combine like terms.
Step 4: Divide across to isolate the variable.
Example 2
Solve the equation below for
Solution
Step 1: Multiply both sides of the equation by the LCM, 4
Step 2: Remove brackets
Step 3: Simplify
Step 4: Collect like terms
Step 5: Combine like terms
Step 6: Divide both sides by the coefficient of
Example 3
Solve the equation below for
Solution
Step 1: Remove brackets
Step 2: Collect like terms
Step 3: Combine like terms
Step 4: Divide both sides by the coefficient of
Example 4
Solve the equation below for
Solution
Step 1: Multiply both sides of the equation by the LCM, 48
Step 2: Simplify
Step 3: Expand the brackets
Step 4: Collect like terms
Step 5: Combine like terms
Step 6: Divide both sides by the coefficient of