To find the Modulus of a complex number

I was given the following expression ,

$|\frac{(3+i)(2-i)}{(1+i)}|$

and was asked to find its value

This is how I proceeded ,

On solving the numerator , the given expression transforms to $|\frac{7-i}{1+i}|$ Then I took the conjugate of the denominator and finally got the expression

$\frac{8-8i}{2}$

$=4|(1-i)|$

Now according to me it’s modulus should be $4\sqrt{2}$ however the correct answer is $5$ . Could you please correct me where I am mistaken ? And please suggest a method to solve this. Thank you .

I was given the following expression ,

$|\frac{(3+i)(2-i)}{(1+i)}|$

and was asked to find its value

This is how I proceeded ,

On solving the numerator , the given expression transforms to $|\frac{7-i}{1+i}|$ Then I took the conjugate of the denominator and finally got the expression

$\frac{8-8i}{2}$

$=4|(1-i)|$

Now according to me it’s modulus should be $4\sqrt{2}$ however the correct answer is $5$ . Could you please correct me where I am mistaken ? And please suggest a method to solve this. Thank you .