Multi-step equations

Math

Definition

Equations that require two or more operations to isolate the variable. Solving involves combining like terms, using the distributive property, and applying inverse operations in the correct order.

How It Works

  1. Simplify each side by distributing and combining like terms.
  2. Use addition or subtraction to move variable terms to one side and constants to the other.
  3. Use multiplication or division to isolate the variable.
  4. Check the solution by substituting back into the original equation.

Examples

  • 3x + 5 = 20 → 3x = 15 → x = 5
  • 2(x − 4) + 3 = 11 → 2x − 8 + 3 = 11 → 2x = 16 → x = 8
  • (x/4) + 7 = 10 → x/4 = 3 → x = 12

Related Terms

Addition equations Equations with variables on both sides Distributive property Combining like terms

Study This Concept

Practice multi-step equations with free review games in these units:

Algebra 1 Unit 2: Solving Linear Equations