Phase Shift and Time Shift - Fourier Transform

[johnstamos]

Homework Statement

I'm trying to relate phase shift and time shift Fourier Transformers

Homework Equations

x(t-t_0) → e^(jwt0)X(jw)

The Attempt at a Solution

I've attached a picture of my work. I'm a bit confused as to how I would be able to make that simplification towards the end.

http://imageshack.us/photo/my-images/694/photofeb1585114pm.jpg/

Regards

 

[rude man]

Homework Statement

I'm trying to relate phase shift and time shift Fourier Transformers

Homework Equations

x(t-t_0) → e^(jwt0)X(jw)

The Attempt at a Solution

I've attached a picture of my work. I'm a bit confused as to how I would be able to make that simplification towards the end.

http://imageshack.us/photo/my-images/694/photofeb1585114pm.jpg/

Regards

How about x(t-t₀) → exp(-jωt₀)X(jω)? Note the - sign in the exponent.