Let's evaluate the given numerical expression step by step:

Expression:

$2 - 5(3 - 7)$

1. Evaluate the parentheses: $3 - 7 = -4$ Now the expression becomes: $2 - 5(-4)$

2. Multiply: $5 \times (-4) = -20$ Now the expression is: $2 - (-20)$

3. Subtracting a negative number is the same as adding its positive value: $2 - (-20) = 2 + 20 = 22$

Final Answer:

$2 - 5(3 - 7) = 22$

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you simplify the expression $3 + 4(6 - 8)$?
2. What is the result of $5 - 2(7 - 9)$?
3. Can you evaluate $10 - 3(2 - 5)$?
4. What happens if you change the subtraction sign in $2 - 5(x - y)$?
5. How does the order of operations affect $4 + 6 \times (2 - 9)$?

Tip: Always solve operations inside parentheses first, followed by multiplication and division, before addition and subtraction.