Write an absolute value equation representing all numbers x whose distance from 5 is 20 units

|x-5| = 20

To write an absolute value equation representing all numbers x whose distance from 5 is 20 units, we can start by recalling that the distance between two numbers is the absolute value of their difference.

So the absolute value equation can be written as:
| x - 5 | = 20

To represent all numbers x whose distance from 5 is 20 units, you can use the absolute value function. The absolute value of a number gives its distance from zero. In this case, we want the absolute value of x - 5, which represents the distance between x and 5. So the equation becomes:

| x - 5 | = 20