Welcome to the forum, Silentia.
In situations such as this, don't worry about your English - which appears to be good anyway.
1. Simply tell the publishers the situation - "I ordered title on date. My bank statement tells me that you have charged me twice for this one order. Please refund the second charge immediately, and confirm to me that you have done so."
2. Tell your bank that the publisher has wrongfully charged you twice for one order - "I note from my statement account number that publisher's name has charged my account twice for one order, and that you have debited my account twice for the same order. I authorised only one payment. Please credit my account immediately with the amount of xxx debited in error, and confirm to me that you have done so."