The table shows the steps for solving the given inequality for x. −3(4−6x) select the reason for each step from the drop-down menus.

Step                                      justification

- 3 (4 - 6x) < x + 5            

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x
                                             from right to left side)

                                              subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12
                                              from left to right side)

                                              addition of like terms (12 + 5 =17)

x < 1                                      division property of equality