Write an absolute value equation that has the solutions x=2 and x=13

|2x - 15| - 11 = 0

is one such equation.

You can develop an equation by thinking about how absolute value is used for distances between two numbers.

The number that is between 2 and 13 is the average number between the two:

avg = (13 + 2) / 2 = 7.5

The distance between 7.5 and 13 is the same as the distance between 7.5 and 2.

Distance = |13 - 7.5| OR |2 - 7.5|

and that distance is equal to 5.5

So a possible equation is

|x - 7.5| = 5.5

and this has solutions of x = 2 and x = 13 as demonstrated above