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Core skills · Level 7

Simple equations

Find the mystery number with a balance scale.

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Learn with Kutty
The idea

An equation is a balance. Do the same thing to both sides.

3x + 520=

Look: The two sides weigh the same: 3x + 5 = 20.

✏️ Your turn!

Type your answer and press Check. Kutty will tell you if it is right.

  1. 1x + 9 = 14

  2. 24x = 36

  3. 32x − 7 = 11

! Careful!

  • ✗Changing only one side.

    ✓Do it to both sides.

  • ✗Dividing by 3 before taking away 5.

    ✓Undo in reverse order: last thing first.

See the whole lesson on one page

An equation is a balance. Do the same thing to both sides.

To find x, undo what was done to it, step by step. Undo + with −. Undo × with ÷. Whatever you do, do it to both sides.

Think of it like thisOn a see-saw scale, if you take 5 kg off one side, take 5 kg off the other side too, and it stays level.

x
The number we do not know yet.
3x + 520=
The two sides weigh the same: 3x + 5 = 20.

Solved together

Question

Ravi thinks of a number. He multiplies it by 3 and adds 5. He gets 20. What was his number?

  1. Call the number x.

    3x + 5 = 20
  2. Undo "+5": take 5 from both sides.

    3x = 15
    3x15=
  3. Undo "×3": divide both sides by 3.

    x = 5
    x5=
  4. Check: 3 × 5 + 5 = 20. ✓

Answerx = 5.

Now practise it

Kanakku makes new questions on simple equations every time. It shows the working and gives a hint when you are stuck.

Play and practise