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gcse

GCSE linear equations revision questions

Use this page when you want GCSE-style linear-equation practice rather than a longer concept lesson.

Immediate answer

Start here if you want the short version before reading the full method.

  • Most GCSE linear-equation questions are solved by undoing operations in reverse order.
  • Important answers should be checked in the original equation before you move on.
Quick explanation

What this topic means and what to look for first.

This page is built for revision pace: quick worked examples, short practice prompts, and a simple self-check routine.

It works best alongside the broader linear-equations guide and the one-step / two-step method pages.

Step-by-step method

One reliable route through the topic.

  1. 1Identify whether the question is one-step, two-step, or slightly messier because of brackets, fractions, or decimals.
  2. 2Undo the operations in the correct order until the variable is isolated.
  3. 3Check the answer in the original equation before moving to the next question.
Worked examples

See the method in action.

Example 1: standard GCSE-style equation

5x + 3 = 18

  1. Subtract 3 to get 5x = 15.
  2. Divide by 5.
  3. So x = 3.
Example 2: bracket example

3(x + 2) = 21

  1. Expand the bracket to get 3x + 6 = 21.
  2. Subtract 6 to get 3x = 15.
  3. Divide by 3, so x = 5.
Common potential mistakes

Things that commonly send the method off track.

  • Undoing operations in the wrong order.
  • Expanding a bracket incorrectly before solving.
  • Checking the answer in a simplified line instead of in the original equation.
Check your answer

Use a short verification pass before moving on.

  • Substitute the final value back into the original equation and compare both sides directly.
  • If the answer fails, go back to the first line where you expanded, cleared fractions, or moved a term.
Practice questions

Try a few variations before switching to a calculator or solver tool.

  • x + 8 = 14
  • 4x - 7 = 13
  • 2(x + 5) = 18
  • x/3 + 2 = 7
  • 0.4x + 1.2 = 3.6
Follow-up access

Want to try a similar problem yourself?

Create a free account if you want to use the solver beta after reading the guide.

A free account is the current follow-up route for returning to the solver beta and future guide updates as the public library grows.

External revision resources

More linear-equation practice resources

If you want more equation practice in printed form, these searches are a practical place to continue.

Amazon

GCSE linear equations workbook search

Useful for extra one-step, two-step, bracket, decimal, and fraction-style equation practice.

View GCSE linear equations workbook search

Amazon

GCSE algebra workbook search

A broader option if you want linear equations plus surrounding algebra topics in one revision book.

View GCSE algebra workbook search
Live help

Need live help with GCSE equations?

If the equation practice still feels frustrating, use the live-help path to say what kind of equation or level you are working on.

What to include

  • The topic or page you were reading
  • The exam level or year group you care about
  • Your country or timezone if live help timing matters

This is a live-help enquiry route, not an instant tutoring checkout. It helps CureMath understand demand and shape future partner or tutor options around real topics.

Ask about live help
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FAQ

Short answers worth checking.

What kinds of linear equations come up at GCSE?

One-step, two-step, bracket, fraction, and decimal equations are all common GCSE revision patterns.

How should I check a GCSE linear-equation answer?

Substitute the final value into the original equation and confirm that both sides match.

What should I do if the equation looks messy?

Simplify the clutter first, such as clearing fractions or expanding brackets, before isolating the variable.

Next places to browse

Use the public site structure first, then switch into the solver tool only if you need a direct test.

CureMath uses artificial intelligence to suggest how a maths problem could potentially be solved. AI can make mistakes.

Check important answers independently before relying on them.