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

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

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

Answer 1

To formulate the equation based on the given parameters:

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

Let's denote the number as \( x \).

1. The sum of the number and 24 is \( x + 24 \).
2. Two times this sum is \( 2(x + 24) \).
3. The difference of 76 and the number is \( 76 - x \).

Now, we can set up the equation:

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

So, the correct response is:

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