Answer:
The statement "when 7 is added to 3 times a certain number, the result is 22" can be written as an equation:
3x + 7 = 22
To solve for the unknown number (which we'll call "x"), we need to get x by itself on one side of the equation. We can do this by subtracting 7 from both sides of the equation:
3x + 7 - 7 = 22 - 7
Simplifying the left side gives us:
3x = 15
Finally, we can solve for x by dividing both sides of the equation by 3:
x = 15 / 3
= 5
So, the number that we were looking for is 5.
Explanation: