Well moving pre-installed apps is often not possible. They set it up that way. Same reason you can't uninstall many apps.
In regard to moving any other apps, well it is going to depend on what version of Android you are running. If you are running "Marshmallow" then you should be able to make the necessary changes. Unless, of course, the manufacturer has restricted this option. Which, sadly sometimes they do. Here are the instructions on how to make the SD card "Internal" rather than "External" storage, which is what you need to do to be able to run apps off of it.
How to turn external SD card into internal storage on "Marshmallow".
NOTE: Please be sure you start with a blank SD card. It needs to be blank because when the card is converted to "Internal" storage, it will be formatted (wiped) and encoded (making the cards data only readable by that device).
1. Go to device “Settings”, then select “Storage”.
2. Select your "SD Card", then tap the “three-dot menu“ (top-right), now select “Settings” from in there.
3. Now select “Format as internal”, and then “Erase & Format”.
4. Your SD Card will now be formatted as internal storage.
5. Reboot your phone.
NOTE: If you don't reboot the phone, many things may not work correctly, so make sure you do.