Have you checked that both your operating specifications and graphics card are those that are recommended for use with the software?
You can check here Hardware & System Requirements | Support | SOLIDWORKS
I have a Lenovo X230, Windows 7, SP1, 64-bit, 8 GB, Graphic card Intel(R) HD Graphics 4000. Would any of this cause the issue?
i think 8 GB of RAM is a little underpowered and als the graphics are not ideal.
But this cannot be the reason why SW doesn't open.
Seems more as a registry problem to me maybe caused by an error in the installation.
Did you clean the registry before the re-installation of SolidWorks?
Also disable the virus scanner