Question

What is the property, transformation, or simplification used in each step of this problem?    x-7=34                                                                                                                                         x-7+7=34+7                                                                                                                                 x+0=34+7                                                                                                                               x=34+7                                                                                                                                       x=41

Answer 1

Well, from the first row to the second you added +7 on both sides. On the other rows you merely did some arithmetic.
Usually one gets from the first line to the last one directly :)