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Ok so per this Are the hex warrior weapon and the pact of the blade weapon the same or different I know they are different. I just picked up improved pact blade and I need to know how they all fit together.

I'm trying to get a hand crossbow for my off hand and a long sword for my main hand. So I ritualize my hand crossbow and summon a longsword when battle starts.

My character is level 5 has an 18 Charisma and Crossbow Expert feat. My understanding is that attacking with the Long Sword will be +8(+3 PFB, +4 Cha, +1 Imp) to hit and +5(+4 Cha, +1 Imp) damage while the hand crossbow will be at +7(+3 PFB, +4 Cha) to hit and +4(+4 Cha) damage. Is this correct or do they both get the same bonuses?

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Your calculations are all correct.

Here are your relevant statistics:

  • Your Charisma is 18 (+4).
  • Your proficiency bonus is +3 (5th level).
  • You can use Crossbow Expert to attack with the hand crossbow after attacking with the longsword, presuming you have a free hand at some point to reload it. Alternatively, you could substitute a dagger without changing the calculations, so this feat isn't relevant to the question.

Here's the scenario for your longsword:

  • You are armed with a longsword that is your Pact of the Blade weapon.
  • You are proficient with it both because it is your pact weapon and because you have proficiency with martial weapons as a Hex Warrior.
  • You can apply your Hex Warrior benefit to it because it is a pact weapon of any type, so you can use CHA for the attack and damage.
  • You can apply your Improved Pact Weapon benefit to it because it is a pact weapon, so it gains +1 to attack and damage.
  • Your to-hit bonus will be your proficiency bonus + your CHA modifier + your Improved Pact Weapon bonus = +3 +4 +1 = +8.
  • Your damage bonus is the same as the above without adding the proficiency bonus = +5. The damage type is magical because it is a pact weapon.

Here's the scenario for your hand crossbow:

  • You are armed with a non-magical hand crossbow.
  • You are proficient with it because you have proficiency with martial weapons as a Hex Warrior.
  • You can apply your Hex Warrior benefit to it because you channeled your will through it, so you can use CHA for the attack and damage.
  • You can't apply your Improved Pact Weapon benefit to it because it isn't a pact weapon.
  • Your to-hit bonus will be your proficiency bonus + your CHA modifier = +3 +4 = +7.
  • Your damage bonus is the same as the above without adding the proficiency bonus = +4. The damage type is non-magical because none of your benefits cause it to be magical.

So all of your calculations were correct as presented in your question.

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