Word Problem: Ratio and Transfer of Quantities

Amy has \(47\) sweets and Benny has \(65\) sweets. If Amy gives some sweets to Benny, the ratio of the sweets of Amy to that of Benny becomes \(3:5\).

1. If the number of sweets that Amy gives to Benny is \(x\), write down an expression, in terms of \(x\), for the remaining sweets that Amy has.
2. Write down an expression in terms of \(x\), for the number of sweets that Benny has after receiving \(x\) number of sweets from Amy.
3. Hence, form an equation and solve for \(x\).