Multi-Step Equations
Distribute, combine like terms, move variables to one side.
Key idea
Distribute, combine like terms, move variables to one side.
In depth
Simplify each side first (distribute, combine like terms), then collect variable terms on one side and undo operations. Always substitute your answer back to check.
Worked example
2(x + 3) = 14 − x: 2x + 6 = 14 − x; 3x = 8; x = 8/3.
Real-world uses
- Splitting a bill that includes a service charge and a discount
- Solving recipe and budget questions
Common mistake
Distributing incorrectly, especially a minus sign across brackets.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Multi-Step Equations?
Distribute, combine like terms, move variables to one side. It is a topic at the intermediate level in Algebra.
Where is Multi-Step Equations used in real life?
Real-world examples: Splitting a bill that includes a service charge and a discount; Solving recipe and budget questions.
What should I learn before Multi-Step Equations?
Make sure you are comfortable with Two-Step Equations, the previous topic in Algebra.
What is a common mistake with Multi-Step Equations?
Distributing incorrectly, especially a minus sign across brackets.
How can I practise Multi-Step Equations?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Multi-Step Equations?
Move on to Variables on Both Sides next.
Related intermediate topics in Algebra
- Variables on Both Sides – Collect variable terms on one side first.
- Literal Equations – Rearrange formulas to solve for a chosen variable.
- Identity and No-Solution Equations – Some equations are always true or never true.
- Linear Inequalities – Solve like equations but reverse the sign when multiplying by a negative.
- Compound Inequalities – Combine two inequalities using “and” or “or”.
- Absolute Value Equations – Split into two cases: inside equals ± the value.