Algebra › Section B · Solving linear equations and inequalities › Topic B.1

A general strategy for linear equations

One method solves every linear equation: keep the equation balanced while you undo operations until the variable stands alone. Master the strategy once and hundreds of equations become routine.

In this topic

  • Equations, solutions, and balance
  • The general strategy
  • Worked example: variables on both sides
  • Clearing fractions
  • Clearing decimals
  • Worked example: brackets on both sides
  • Classifying equations
  • Worked example: a service bill
  • Common mistakes to avoid
  • Key takeaways

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