If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the original number.

The original number is 72

(18+x) / 6 = 1+14

1/6x + 3 = 1 + 14 (Distribute)

1/6x + 3 = (1+14) (Combine Like Terms)

1/6x + 3 = 15

- 3 = - 3 (Subtract 3 From Both Sides)

1/6x = 12

(1/6x) * 6 = 12 * 6 (Multiply Both Sides By 6)

x = 72