What it looks like
x − 3 = 4
x had 3 subtracted from it and 4 is left. To get x on its own, put the 3 back. Adding undoes subtracting.
Worked example 1
x − 3 = 4
Add 3 to both sides
x = 7
Check it: 7 − 3 is 4. It works.
Worked example 2
x − 6 = 2
Add 6 to both sides
x = 8
The answer is bigger than both numbers in the puzzle. That is fine. Check it: 8 − 6 is 2.
The most common mistake
Seeing a minus sign and picking the Subtract spell.
Not this
x − 3 = 4, subtract 3 from both sides
x − 6 = 1
x is further from being on its own.
This
x − 3 = 4, add 3 to both sides
x = 7
The wizard will say, "Hmm, that made it trickier — try a different spell!" Nothing is lost. Cast the opposite spell.
In the game
You meet these puzzles in the Enchanted Forest.