Solve the mathematical problem involving absolute value.

7−(2+|5−3|)

7-(2+|5-3|)

7-(2+|2|)
7-(2+2)
7-4
3

To solve this mathematical problem, follow these steps:

Step 1: Solve the expression inside the absolute value:
|5 - 3| = |2| = 2

Step 2: Substitute the value of the absolute value expression back into the original problem:
7 - (2 + 2)

Step 3: Simplify the addition inside the parentheses:
7 - 4

Step 4: Subtract:
7 - 4 = 3

Therefore, the solution to the problem 7 - (2 + |5 - 3|) is 3.