Question

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)
Responses

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

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

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

2(x+24)=x−76

Answer 1

To find the correct equation that satisfies the given parameters, we can break down the statement:

"Two times the sum of a number and 24 equals the difference of 76 and that same number."

Let \( x \) be the number. We can express this mathematically as follows:

1. **The sum of a number and 24**: \( x + 24 \)
2. **Two times this sum**: \( 2(x + 24) \)
3. **The difference of 76 and that same number**: \( 76 - x \)

Putting it all together, we get the equation:

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

So the correct response is:

**2(x + 24) = 76 - x**