Five times a number is divided by 7 more than the original number. If the result is 2, then what was the original number?

Let the original number==N

5N / [N + 7] ==2, solve for N

Cross multiply

5N ==2N + 14

5N - 2N ==14

3N ==14

N ==14 / 3 ==4 + 2/3 - the original number.