AlgebraStudy Notes

Worked Example 1: Two-Step Equation

Part of Linear EquationsGCSE Mathematics

This study notes covers Worked Example 1: Two-Step Equation within Linear Equations for GCSE Mathematics. Revise Linear Equations in Algebra for GCSE Mathematics with 16 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

16 questions

Recall

12 flashcards

Worked Example 1: Two-Step Equation

Solve: 3x + 7 = 22

Step 1 Subtract 7 from both sides

3x + 7 - 7 = 22 - 7

3x = 15

Step 2 Divide both sides by 3

3x ÷ 3 = 15 ÷ 3

x = 5

Check Substitute back

3(5) + 7 = 15 + 7 = 22 ✓

Answer: x = 5

Keep building this topic

Read this section alongside the surrounding pages in Linear Equations. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Linear Equations

What is the solution to 3x = 12?

  • A. x = 3
  • B. x = 4
  • C. x = 9
  • D. x = 36
1 markfoundation

Solve x + 7 = 15

1 markfoundation

Quick Recall Flashcards

Golden Rule of solving equations
Whatever you do to one side, you MUST do to the other side to keep the equation balanced.
What does 'solving an equation' mean?
Finding the value of the unknown (e.g. x) that makes the equation true. You isolate x by doing the same operation to both sides.

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