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)

Question

Responses

2x+24=x−76
2 x plus 24 is equal to x minus 76

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

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

2x+24=76−x

Answer 1

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