If the degree is from an accredited institution then it should be the same. I can’t guarantee that no employer or PhD program anywhere in the world won’t discriminate against someone who does a degree over distance learning, but in general it shouldn’t be a problem.

Just make sure that the school is accredited by the appropriate body, (In the US this is one of the six regional accredation bodies) because otherwwise the degress isn’t worth the paper on which it’s printed.