Windows/Mac: "Keyboard Shortcuts to Reorder Tabs" is a no-frills Chrome extension with a no-nonsense name. It allows Windows and Mac users to change the order of their tabs by holding CTRL+SHIFT and pressing Page Up or Page Down to move the tab to the left or right.
The extension has no preferences page or icon, and it doesn't require you to do anything after installation for it to work. If you sync Chrome between multiple computers, the extension will work normally in Windows or Mac — it just won't affect anything at all in Linux since the shortcut's already built-in.
Moving tabs with this shortcut is actually a built-in feature in Chrome for Linux, but Windows and Mac users have never had the option until now. Luckily, one of our own readers got tired of the missing functionality, and decided to even things up a bit. Thanks Bonstio!
Keyboard Shortcuts to Reorder Tabs [Chrome Web Store]