We need to "get rid of" the -6 on the left hand side so we are left with x only on the left hand side.
The opposite of subtracting 6 is adding 6.
If we add 6 to both sides, we will remove the -6 on the left.
x − 6 = 10
x − 6 + 6 = 10 + 6
x = 16
So the value of x needs to be 16 to make the equation true.
CHECK into the original question:
16 − 6 = 10. It checks out okay.