You can’t directly send AVAX from Binance to Metamask neither from Metamask ( configured on BSC ) to Avalanche wallet.
They are different blockchains / smart contracts and thus not compatible.
By doing, this operation, you will send your AVAX on Binance Smart Chain ( BSC ) as BEP20 token.
To solve this, you have to first use another browser on your computer then install metamask.
Choose the option, I already have an account and import your Avalanche wallet 24 words ( seeds ) in it.
You can now add BSC RPC in Metamask => Add custom RPC and mention the following :
Network Name : BSC
RPC URL : https://bsc-dataseed.binance.org
ChainID: 0x38, 56 in decimal (if 56 doesn’t work, try 0x38)
Block Explorer: https://bscscan.com
Then on BSC RPC add token, custom token and mention the following token contract ( AVAX on BSC )
You should now see your AVAX.
To get them back on Binance, you will have to send some BNB on your metamask address ( to pay the fees )
Then on Binance, click deposit -> AVAX -> BEP20 ( BSC ) => it will mention you a 0x like address
!!! Don’t send them back to binance using AVAX network !!! as your tokens are currently on BSC
Finally, to get your AVAX on Avalanche => Withdraw -> Avax -> Avax network ( this time ) and send them to the X-AVAX1 address of your Avalanche wallet ( https://wallet.avax.network )
In the wallet, cross chain X -> C then you can send your AVAX on metamask.
If you are not sure and blocked at any step, to avoid doing something incorrect => contact me on telegram ( https://t.me/Ponay_Avangers )
ALWAYS DO YOUR FIRST TRANSACTION with a small amount of tokens in case of mistakes, it will avoid you lot of troubles