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Linear equations
Lesson 4 of 13

Solving linear equations

Objective. Solve equations with the unknown on one or both sides.

The key idea

An equation is a balance. Whatever you do to one side you must do to the other, undoing operations in reverse order.

Worked example

Solve 5x − 4 = 3x + 10.

Solve 5x − 4 = 3x + 10
Illustrated card showing Solve 5x − 4 = 3x + 10
  1. 1Subtract 3x from both sides: 2x − 4 = 10.
  2. 2Add 4: 2x = 14.
  3. 3Divide by 2.

Answer: x = 7

Practice

Each question comes with a picture and a listen button. Try it first, then reveal the answer.

Common mistake. Changing only one side of the equation.

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