To find the number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number, we can use the following steps:
Let the number be represented by the variable x.
Set up the equation 7x - 15 = 2x + 10.
Solve the equation to obtain 5x = 25, which simplifies to x = 5.
The required number is x, which is equal to 5.