Three times a number increased by 7 gives the same result as four times the number increased by 5? heee

If we were to write this as a mathematical equation, it would look something like this:

3x + 7 = 4x + 5

In order to solve, we would need to isolate the variable. We can do this by subtracting 3x from both sides, after doing which, we are left with this:

7 = x + 5

Then, we subract 5 from both sides to isolate the variable

2 = x

That number you are looking for is 2.

Let's check out work by substituting 2 in for the unknown number in the original problem:

3(2) + 7 = 4(2) + 5

6 + 7 = 8 + 5

13 = 13

And we can see that the numbers do indeed check out.

Your answer is 2.
Hope that helped! =)

Can you provide the tape diagram?