When I click the launch button to start playing the game, it just goes to a black screen and the cursor turns into a loading circle thing but nothing ever happens. canurunit says that my laptop is capable of running it. Can anyone help me?
canurunit says that my laptop is capable of running it
That site doesn't check all games to see if they actually run on the tested systems. They merely check your PC to see what it's specifications are, and compares them to the recommended specs provided by the publisher. In this case EA is extremely (I'll be kind and say) liberal with what they claim is minimum for running the game at all, let alone well.
Going by what the rest of your post says, I'd say either it won't run at all for you or very poorly once it eventually does load (and it can take 15-30 minutes to load if you have a borderline PC).
I find the specification minimum requirements stated for The Sims 3 to be exceptionally misleading. This is specifically true if you choose to get more of the expansions and install additional add-ons contents, which can easily bring even a modern lower-range desktop to a crawl due to all the stuff that requires rendering especially so on higher settings.
This is your biggest bottleneck: "Video Graphics Intel HD Graphics 3000 Video Memory Up to 1696MB total graphics memory"
I have a Intel GMA4500 with shared memory up to 1800MB, and have some minor problems. The 3/4 series is better than their older 900 series, but still is a very low end card for anything nowadays (thus my statement that EA is simply saying what will run it, not what will run it well).