To create an equation based on the given parameters, we should first understand the statement:
"Two times the sum of a number and 24 equals the difference of 76 and that same number."
Let's break this down:
- Let \( x \) represent the unknown number.
- The sum of the number and 24 is \( x + 24 \).
- Two times that sum is \( 2(x + 24) \).
- The difference of 76 and that same number is \( 76 - x \).
Now, we can set up the equation based on the statement:
\[ 2(x + 24) = 76 - x \]
This indicates that the correct equation from the provided options is:
2(x + 24) = 76 - x.