What is the value of 3 + |x-2| for x = -3?

steps

3 + | x - 2 |

Remember: Whatever the sign (+ or -) WITHIN the absolute number | + or - |   
the result bis ALWAYS POSITIVE:

Example | - 5 | = +5

Now let's solve:

3 + | x - 2|, replace x with its value - 2

3 + | -2 - 2 | → 3 + | - 5 | , {Remember | - 5 | = 5 }
Then  3 + 5 = 8