If you increase the number by 5 times and decrease the result by 5, you get 5. What is this number?

Let us denote the unknown number by x. Next, we will compose an equation according to the condition of the problem.

(x * 5) – 5 = 5.

Move the number (-5) to the right side of the equation, changing its sign to the opposite.

(x * 5) = 5 + 5.

Let’s add the numbers.

(x * 5) = 10.

Let’s omit the parentheses.

x * 5 = 10.

5 x = 10.

We are looking for an unknown factor.

x = 10/5.

x = 2.

Now let’s check.

In place of x, we substitute its found value.

(2 * 5) – 5 = 10 – 5 = 5.

5 = 5.

Everything is correct.

To summarize, the unknown number is the number 2.