Question

|x - 5| + 30 =10

Answer 1

no solution

Answer 2

was a trick question ;)

Answer 3

If you want a general method of dealing with equations involving absolute values break the parts in the absolute value function into a piece-wise function

Answer 4

first you need to put the thirty on the other side.
so, that makes it absolute value of x - 5 = -20
then, you realize that the answer is impossible