How may I align text to the left and text to the right in the same line?

How can I align text so that some of it aligns to the left and some of it aligns to the right within the same line?

<p>This text should be left-aligned. This text should be right aligned.</p> 

I can align all of the text to the left (or to the right), either directly inline, or by using a stylesheet -

<p style='text-align: left'>This text should be left-aligned. 
    This text should be right aligned.</p>

How can I align the corresponding text to the left and to the right, while keeping it on the same line?