If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3.

The value of x is 4 or -16.

Step-by-step explanation:

Consider the provided information.

If 7 is subtracted from the absolute value of the sum of a number and 6, the result is 3.

let the number is x now the absolute value of the sum of x and 6 can be written as:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4      or x=-16

Hence, the value of x is 4 or -16.