I'm new and nned help with a theory prolem.

I'm taking a math theory class and am in over my head. I'm making it but am completely stumped by this question. "Jill asks each of her classmates to choose a number, then multiply the number by -3, add 2 to the product, multiply the result by -2, and then subtract 14. Finally, each student is asked to divide the result by 6 and record the answer. When Jill gets their answers, she adds 3 to it in her head and announces the number that classmate originally chose. How did Jill know to add 3 to ach answer?"

Can anyone help?

Re: I'm new and nned help with a theory prolem.

Let x be the number.

1)multiply by -3 ( -3x )

2)add 2 to the product ( -3x + 2 )

3)multiply the result by -2 ( -2*(-3x+2) = 6x - 4 )

4)subtract 14 ( 6x - 4 - 14 = 6x - 18 )

5)divide by 6 ($\displaystyle \frac{6x-18}{6} = x - 3$)

6)record the answer they give ( call it p) ( x - 3 = p )

7)x = p + 3