MINDRACE Learn ⚔️ Play free

Equations

8 questions · EasyMediumHard

A linear equation has one unknown with no powers. Whatever you do to one side, do to the other, until x stands alone.

💡 Quick tricks

  1. Move numbers first, then divide by the coefficient: 5x − 4 = 31 gives 5x = 35, so x = 7.
  2. If x is on both sides, collect the x terms on one side before anything else.
  3. Check by substituting your answer back into the original equation.
8 questions

🎯 Try it yourself

Tap an answer. You'll see if it's right, and why. Easy ones come first.

  1. Q1Easy

    Solve for x: 3x + 6 = 39

    Show answer

    Answer: A. 11

    💡 3x = 39 − (6) = 33, so x = 33 ÷ 3 = 11.

  2. Q2Easy

    Solve for x: 4x + 19 = 23

    Show answer

    Answer: C. 1

    💡 4x = 23 − (19) = 4, so x = 4 ÷ 4 = 1.

  3. Q3Easy

    Solve for x: 5x + 16 = 66

    Show answer

    Answer: A. 10

    💡 5x = 66 − (16) = 50, so x = 50 ÷ 5 = 10.

  4. Q4Medium

    Solve for x: 4x + 4 = 80

    Show answer

    Answer: A. 19

    💡 4x = 80 − (4) = 76, so x = 76 ÷ 4 = 19.

  1. Q5Medium

    Solve for x: 12x − 20 = 160

    Show answer

    Answer: C. 15

    💡 12x = 160 − (-20) = 180, so x = 180 ÷ 12 = 15.

  2. Q6Medium

    Solve for x: 11x + 27 = 137

    Show answer

    Answer: B. 10

    💡 11x = 137 − (27) = 110, so x = 110 ÷ 11 = 10.

  3. Q7Hard

    Solve for x: 8x + 12 = 3x + 37

    Show answer

    Answer: D. 5

    💡 Collect terms: 5x = 37 − 12 = 25, so x = 5.

  4. Q8Hard

    Solve for x: 4x + 2 = 2x + 14

    Show answer

    Answer: B. 6

    💡 Collect terms: 2x = 14 − 2 = 12, so x = 6.

Think you're fast?

Practised equations? Race another player live: 10 questions, 90 seconds, one winner.

⚔️ Play a 1v1, free