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Linear Equations

JHS

Algebra

Concept

Solve linear equations of the form ax + b = c.

Walkthrough

Solve 2x + 3 = 11.

  1. 1.The goal is to isolate x on one side of the equation.
  2. 2.Subtract 3 from both sides to move the constant: 2x + 3 − 3 = 11 − 3, so 2x = 8.
  3. 3.Divide both sides by 2 to isolate x: 2x ÷ 2 = 8 ÷ 2, so x = 4.
  4. 4.Verify by substituting back: 2(4) + 3 = 8 + 3 = 11. ✓
  5. 5.The solution is x = 4.

Answer

4

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