الخطط

مركز التعلّم / الجبر

Solving linear equations

Use inverse operations to get the unknown on its own, keep the equation balanced, and always check your answer.

قراءة 1 دقائقآخر تحديث 18 أكتوبر 2026بقلم Sumzo teamراجعه Sumzo team

An equation says two expressions are equal. A linear equation has the unknown only to the first power, like 3x+5=203x + 5 = 20. To solve it, undo what has been done to xx, doing the same thing to both sides so the equation stays balanced.

مثال محلول

A two-step equation

Solve 3x+5=203x + 5 = 20.

أظهر خطوات الحل
  1. Subtract 5 from both sides.
    3x=153x = 15
  2. Divide both sides by 3.
    x=5x = 5
  3. Check by substituting.
    3(5)+5=20✓3(5) + 5 = 20 \checkmark

الإجابة: x=5x = 5

تحقق منه محرك الرياضيات في Sumzo

Brackets and unknowns on both sides

  1. Expand any brackets.
  2. Collect the xx terms on one side and the numbers on the other.
  3. Divide by the coefficient of xx.

مثال محلول

Brackets and x on both sides

Solve 3(x−2)=x+43(x - 2) = x + 4.

أظهر خطوات الحل
  1. Expand the bracket.
    3x−6=x+43x - 6 = x + 4
  2. Subtract xx from both sides and add 6.
    2x=102x = 10
  3. Divide by 2.
    x=5x = 5

الإجابة: x=5x = 5

تحقق منه محرك الرياضيات في Sumzo

الحاسبات

التدريب

عالق في مسألة؟ اسأل Sumzo AI