Answer :

To solve the expression [tex]\(5 + (-7)\)[/tex], follow these steps:

1. Identify the Numbers:
- The first number is [tex]\(5\)[/tex].
- The second number is [tex]\(-7\)[/tex].

2. Understand the Operation:
- We are adding a positive number ([tex]\(5\)[/tex]) and a negative number ([tex]\(-7\)[/tex]).

3. Combine the Numbers:
- Adding a negative number is equivalent to subtracting its absolute value from the first number.
- So, [tex]\(5 + (-7)\)[/tex] is the same as [tex]\(5 - 7\)[/tex].

4. Perform the Subtraction:
- Subtract [tex]\(7\)[/tex] from [tex]\(5\)[/tex].
- [tex]\(5 - 7 = -2\)[/tex].

Therefore, [tex]\(5 + (-7) = -2\)[/tex].