When dealing with these types of equations the main goal is to find x. In order to find x you must get x by itself.
In the example 10+x=15 you subtract 10 on both sides so that way x is by itself
10+x=15 x=15-10 x=5
In the other equation x-32=20 you have to add 32 to both ways in order to get x by itself
x-32=20 x=20+32 x=52
- you subtract the number from both sides when it is positive - you add the number to both sides when it is negative - when you +\- the same number with two different signs they will cancel out ex: