While playing marbles, your first opponent won half your marbles plus 4 marbles. You lost half of what was left plus 3 marbles to your second opponent, You lost half of what was then left plus 2 more to the third opponent and your fourth opponent won your only remaining marble. How many marbles did you have to begin with?

Question

While playing marbles, your first opponent won half your marbles plus 4 marbles.  You lost half of what was left plus 3 marbles to your second opponent,  You lost half of what was then left plus 2 more to the third opponent and your fourth opponent won your only remaining marble.  How many marbles did you have to begin with?