Final answer:
The student's statement can be expressed algebraically as the equation 2 * (4 + x) = x - 6, where x represents the unknown number.
Step-by-step explanation:
To convert the student's statement into an equation, let's define a variable for the unknown number. We'll call it x. Now, the statement 'two times the sum of four and a number is six less than that same number' can be translated step-by-step into mathematical language:
First, the sum of four and the number: 4 + x.
Two times this sum: 2 * (4 + x).
'Is' means equals, and 'six less than that same number' can be translated to x - 6.
Putting it all together, we get the equation: 2 * (4 + x) = x - 6.