Determine the mass of AgCl precipated when 2g of NaCl solution reacts with silver trioxonitrate (v)

NaCl + AgNO3 -) AgCl + NaNO3

NaCl + AgNO3 ==> AgCl + NaNO3

Here is a step by step procedure that will work all stoichiometry problems.
1. Write and balance the equation. You've done that.
2. Convert what you have to moles. mols = grams/molar mass = 2/58.5 = 0.0342
3. Using the coefficients in the balanced equation, convert mols of what you have to moles of what you want. 0.0342 mols NaCl x (1 mol AgCl/1 mol NaCl) = 0.0342 x 1/1 =?
4. Now convert mols to grams using the same formula as in 1.
grams AgCl = mols AgCl x molar mass AgCl = ?
By the way, your name for AgNO3 is not an approved name by IUPAC. It should be called silver nitrate although other names are correct also. Silver trioxoxonitrate(v) is not one of them.