Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.

Let's denote the number we're looking for as x.

According to the problem, "when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number." This can be translated into the following equation:

7x - 15 = 2x + 10

To solve for x, we first need to get all terms involving x on one side of the equation and the constants on the other side. We can do this by subtracting 2x from both sides and adding 15 to both sides:

7x - 2x = 10 + 15

This simplifies to:

5x = 25

Finally, we can solve for x by dividing both sides of the equation by 5:

x = 25 / 5

So, x = 5.