CurriculumGrade 6Mathematics

Solving One-Step Equations

Aligned to 6.EE.B.7 — Common Core State Standards for Mathematics.

What this lesson teaches

An equation is a balance. Whatever you do to one side, do to the other. To isolate the variable, undo the operation with its inverse.

Worked example

x + 5 = 12 → subtract 5 from both sides → x = 7. Check: 7 + 5 = 12. ✓

Practice questions

  1. Solve x − 4 = 9.
  2. Solve 3x = 21.
  3. Solve x/2 = 6 and check your answer.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

▶ Watch this lesson

En español

Resolución de Ecuaciones de Un Paso

Una ecuación es como una balanza. Lo que hagas de un lado, debes hacerlo del otro. Para despejar la variable, deshaz la operación usando su operación inversa.

Ejemplo: x + 5 = 12 → resta 5 a ambos lados → x = 7. Comprobación: 7 + 5 = 12. ✓

More Expressions & Equations lessons

Expressions and Exponents6.EE.A.1Writing and Evaluating Expressions6.EE.A.2Making Equivalent Expressions6.EE.A.3Are Two Expressions Equal?6.EE.A.4What It Means to Solve6.EE.B.5Using Variables in Word Problems6.EE.B.6

Teach this lesson today

An AI tutor that guides with questions instead of just giving answers — all K–12 core subjects, every child in the family.

Start free — no card required