The sign | - 2 |, denotes that the absolute value of - 2 is 2, and | + 2 |, denotes that the absolute value of + 2 is 2. If | - x | = 2, then x = 2 or x = - 2. If the equation | - X-1 | = 2 is solved, then X-1 = 2 or X-1 = - 2 can be obtained, and x = 3 or x = - 1 can be obtained by solving the equation respectively. Using the above knowledge, the equation can be solved as follows: | - 2x-1-7 = 0

The sign | - 2 |, denotes that the absolute value of - 2 is 2, and | + 2 |, denotes that the absolute value of + 2 is 2. If | - x | = 2, then x = 2 or x = - 2. If the equation | - X-1 | = 2 is solved, then X-1 = 2 or X-1 = - 2 can be obtained, and x = 3 or x = - 1 can be obtained by solving the equation respectively. Using the above knowledge, the equation can be solved as follows: | - 2x-1-7 = 0

|2X-1|-7=0
There are two possibilities to do the first one: | 2x-1 | - 7 = 0, assuming that x is a positive integer
To the absolute value 2x-1-7 = 0
Transfer: 2x = 0 + 1 + 7
If we combine the similar terms, we get 2x = 8
If the coefficient is changed to 1, x = 4
Second, suppose x is negative
|2X-1|-7=0
If the absolute value is removed, then: - (2x-1) - 7 = 0
As above, x = - 3