A certain manufacturer produces items for which the production costs consists of annual fixed costs totaling $130,000 and variable costs averaging $8 per item. If the manufacturer's selling price per item is $15, how many items must the manufacturer produce and sell to earn an annual profit of $150,000?

Is my answer correct? My answer is 40,000. The way I got this was

130,000 +8 (x) + 150,000 = 15 (x)

280,000 + 8x = 15x

280,000 = 7 x

x= 40,000