To solve the expression [tex]\(6 - 5 + 12 - 8 + 10\)[/tex], let's break down the operations step by step, following the order of operations (from left to right in the case of addition and subtraction):
1. Start with the first pair of numbers:
[tex]\[ 6 - 5 = 1 \][/tex]
2. Now take this result and add the next number in the sequence:
[tex]\[ 1 + 12 = 13 \][/tex]
3. Next, subtract the following number:
[tex]\[ 13 - 8 = 5 \][/tex]
4. Finally, add the last number:
[tex]\[ 5 + 10 = 15 \][/tex]
So, the result of the expression [tex]\(6 - 5 + 12 - 8 + 10\)[/tex] is [tex]\(\boxed{15}\)[/tex].
