Leopard gecko eggs are easy as pie to hatch. Make sure you have a warm, moist hide with some moss/vermiculite in it. The female should lay her eggs inside. If you don't have an incubator you can hatch them other ways. The easiest in this case would be to take a small tuperware container and fill it half way with moist (not wet) vermiculite or pearlite. When the eggs are laid DO NOT flip them over or anything. You must carefully pick them up and place them in the tuperware container the same way you found them. Now you have to decide where to incubate them. Remember the females will hatch at around 82 F and males around 88 F. You'll get a mix of males and females at around 85 F. I'd get a temperature probe to determine how warm the eggs are. You can place the tuperware container back in the tank if you want as long as the eggs inside stay around a constant temp between 80-90 F. Once a week open the tuperware container and check for mold and also to allow some oxygen inside. Lightly mist the eggs and vermiculite. The eggs usually take about 40-60 days to hatch.