Given a certain positive integer X, if x is divided by 5 the remainder is 3 and if it is divided by 7 the remainder is 5. What is the remainder when x is divided by 30.  Choose the correct choice from the following choices:
A) 5
B) Between 1 and 4, inclusive
C) Between 5 and 10, inclusive
D) Between 10 and 12, inclusive
E) above 12
Put in real numbers.   Given number x   5x+3 = 7x+5   Start 5x+3 --&gt; 8, 13, 18, 23, 28, 33,....   Of these only 33 fit the description 7x+5. The remainder when divided by 30 is 3. So answer is B).   If there is a purely algebraic way, please tell.   Answer = Between 1 and 4, inclusive)
<result>B</result>
Given a certain positive integer X, if x is divided by 5 the remainder is 3 and if it is divided by 7 the remainder is 5. What is the remainder when x is divided by 30.