The sum of two times a number and 11 is negative 7

Step-by-step explanation:

We need to work backwards to solve this problem; starting with negative 7 ...

If you add 11 to a number, you get negative seven. Which means that the original number must be 11 less than negative 7.

-7 - 11 = - 18

Now, 2 times a number equals - 18 ... Well, what's - 18 divided by 2?

-18 / 2 = - 9

So, the original number must be - 9!

To check your work, work forwards now.

-9 x 2 = - 18 - 18 + 11 = - 7

|2 • x| + 11 = - 7

x = - 9