Sure, let's solve the expression step-by-step.
The given expression is:
[tex]\[
2(8-10) \div (8 \div 4) + 2
\][/tex]
Step 1: Solve inside the parentheses.
First, calculate inside the first parentheses:
[tex]\[
8 - 10 = -2
\][/tex]
Then, calculate inside the second parentheses:
[tex]\[
8 \div 4 = 2
\][/tex]
Now, the expression becomes:
[tex]\[
2(-2) \div 2 + 2
\][/tex]
Step 2: Perform the multiplication and division.
First, multiply:
[tex]\[
2 \times (-2) = -4
\][/tex]
The expression now is:
[tex]\[
-4 \div 2 + 2
\][/tex]
Then, divide:
[tex]\[
-4 \div 2 = -2
\][/tex]
So, the expression now is:
[tex]\[
-2 + 2
\][/tex]
Step 3: Add the remaining constants.
Finally, add:
[tex]\[
-2 + 2 = 0
\][/tex]
Therefore, the solution to the expression [tex]\(2(8-10) \div (8 \div 4) + 2\)[/tex] is:
[tex]\[
\boxed{0}
\][/tex]
