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."
- Let the number be represented by \( x \).
- The difference of a number and 10 can be expressed as \( x - 10 \).
- Three times the difference will then be \( 3(x - 10) \).
- 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)