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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 and Eduqas.

AlgebraFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on linear equations, and what each one is really asking.

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

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Whatever you do to one side, do to the other
  • Expand brackets before collecting like terms
  • Check your answer by substituting back into the equation

Linear Equations questions students ask

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 → 3x = 9 → 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.