Algebra

GCSE Maths: Linear Equations

Solve GCSE Maths linear equations with step-by-step practice, including equations with brackets, fractions and unknowns on both sides. AQA, Edexcel, OCR.

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Key Concepts in Linear Equations

  • Solving one-step equations
  • Equations with brackets
  • Equations with unknowns on both sides
  • Equations involving fractions
  • Forming and solving equations from word problems

Exam Tips for Linear Equations

  • ๐Ÿ’กWhatever you do to one side, do to the other
  • ๐Ÿ’กExpand brackets before collecting like terms
  • ๐Ÿ’กCheck your answer by substituting back into the equation

Exam Board Coverage

Linear Equations appears on all major GCSE Maths exam boards at both Foundation and Higher tier.

AQA
Edexcel
OCR

Frequently Asked Questions

How do I solve an equation with unknowns on both sides?

Move all the terms with the unknown to one side and all the number terms to the other. E.g. 5x + 3 = 2x + 12 โ†’ 3x = 9 โ†’ x = 3.

How do I solve an equation with fractions?

Multiply every term in the equation by the denominator (or LCD if there are multiple fractions) to clear the fractions, then solve normally.