Write the equation that satisfies the parameters: three times the difference of a number and 10 equals the sum of 25 and that same number.(1 point)

Question

Responses

3(x+10)=25−x
3 times open paren x plus 10 close paren is equal to 25 minus x

3x−10=25+x
3 x minus 10 is equal to 25 plus x

3(x−10)=25+x
3 times open paren x minus 10 close paren is equal to 25 plus x

3x+10=25−x

Answer 1

To solve the problem, let's break down the statement:

"Three times the difference of a number and 10 equals the sum of 25 and that same number."

1. Let the number be represented by \( x \).
2. The difference of a number and 10 can be expressed as \( x - 10 \).
3. Three times the difference will then be \( 3(x - 10) \).
4. The sum of 25 and that same number can be expressed as \( 25 + x \).

Putting these parts together, we set up the equation:

\[ 3(x - 10) = 25 + x \]

So, the correct response is:

3(x−10)=25+x
(3 times open paren x minus 10 close paren is equal to 25 plus x)