Need help on how to solve this problem, it would be greatly appreciated!

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 $32,334. The variable costs will be $10 per book. The publisher will sell the finished product to bookstores at a price of $18.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Question

Need help on how to solve this problem, it would be greatly appreciated! 


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 $32,334. The variable costs will be $10 per book. The publisher will sell the finished product to bookstores at a price of $18.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

welshfella · Answer

total cost  = 32,334 + 10x     where x is the number of books sold

welshfella · Answer

Now what is the expression , in terms of x, for the total income from  selling x books?

welshfella · Answer

equate this to total cost and solve for x.

anonymous · Answer

Well when I added the numbers together I got 32,344. But I'm not sure how to re-write the expression.

welshfella · Answer

1 book is sold for $18.50
so x books are sold for ?

welshfella · Answer

if , for example, they sold 10 books the income would be 18.50 * 10  right?

welshfella · Answer

- so just replace the 10 by x

anonymous · Answer

Okay, I think I understand.

anonymous · Answer

okay, yeah I got it wrong I have no idea what I'm doing, thanks for trying to help though.

welshfella · Answer

the equation is 
32,334 + 10x = 18.50x
solve for x