To solve the expression [tex]$-12 + 5$[/tex], we need to follow these steps:
1. Recognize that we are adding a positive number to a negative number.
2. Since we are adding a positive number to a negative number, we can think of it as subtracting the smaller number from the larger number and then applying the sign of the larger number:
- The absolute value of [tex]$-12$[/tex] is [tex]$12$[/tex].
- The absolute value of [tex]$5$[/tex] is [tex]$5$[/tex].
- Subtract [tex]$5$[/tex] from [tex]$12$[/tex], which gives [tex]$12 - 5 = 7$[/tex].
3. Since the number with the larger absolute value is [tex]$-12$[/tex] (a negative number), we need to apply a negative sign to the result.
Therefore, [tex]$-12 + 5 = -7$[/tex].
So, the result is [tex]$\boxed{-7}$[/tex].
