I need to know If I did this correctly

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $55,008. The variable costs will be $11.50 per book. The publisher will sell the finished product to bookstores at a price of $23.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

55008+ 11.50x=23.50x
The answer I got was x=4584

Question

I need to know If I did this correctly

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total  $55,008. The variable costs will be $11.50 per book. The publisher will sell the finished product to bookstores at a price of  $23.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

55008+ 11.50x=23.50x
 The answer I got was  x=4584