Write the equation that satisfies the parameters: two times the sum of a number and 24 equals the difference of 76 and that same number.(1 point)

To set up the equation based on the problem statement, we can break it down as follows:

1. Let \( x \) be the unknown number.
2. The phrase "two times the sum of a number and 24" translates to \( 2(x + 24) \).
3. The phrase "the difference of 76 and that same number" translates to \( 76 - x \).

Putting it all together, we have the equation:

\[ 2(x + 24) = 76 - x \]

Thus, the correct response is:

**2(x + 24) = 76 - x**
*2 times open paren x plus 24 close paren is equal to 76 minus x*