If you subtract 6 from the planned number and divide the result by 4, you get a number

If you subtract 6 from the planned number and divide the result by 4, you get a number that is 5 times less than intended. Find this number.

Let’s solve this problem using the equation.
Let x be a conceived number. When we subtract 6 from the planned number, we get (x – 6). When the result is divided by 4, we get (x – 6): 4. We know that as a result we get a number that is 5 times less than intended. Let’s make the equation:
5 * (x – 6): 4 = x;
(5 * x – 5 * 6): 4 = x;
(5 * x – 30): 4 = x;
5 * x – 30 = 4 * x;
5 * x – 4 * x = 30;
x * (5 – 4) = 30;
x * 1 = 30;
x = 30 is the intended number.
Answer: the intended number is 30.