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Keeping the balance

The one rule behind every puzzle: do the same to both sides.

What is x?

x is a hidden number. Your job is to find out what it is.

What the scales show

Every puzzle sits on the wizard's scales. One side might say x + 2. The other side might say 5.

The scales are level, so both sides are worth the same.

The one rule

Whatever you do to one side, do to the other side too. Then the scales stay level.

Try it with plain numbers

Start with 5 on each side. Add 3 to both sides. Now each side is 8.

Still level.

What happens if you break the rule

Start with 5 on each side again. Add 3 to one side only. Now one side is 8 and the other is 5.

The scales tip.

How this finds x

Each spell you cast changes both sides at once. Keep casting until x is on its own. The other side then tells you what x is.

The most common mistake

Changing one side and forgetting the other.

Not this

x + 2 = 5, subtract 2 from the left only

x = 5

But 5 + 2 is 7, not 5.

This

x + 2 = 5, subtract 2 from both sides

x = 3

And 3 + 2 is 5.

In the game you cannot make this mistake. Every spell is cast on both sides for you. But it helps to know why.

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