Make a certain part of a android-textview align to the right

I have this TextView. Some parts of it is supposed to be aligned to the left and some parts to the right. How would I do this in Java?

Basicly I want the first line to align to the left, and the next line to the right and so on.

Anyone got a clue?

EDIT

I have tried to use HTML and then when that did not work I tried spans.

html attempt

textView.setText(Html.fromHtml("<p align=\"right\">THIS IS TO THE RIGHT</p>"));

And heres the span attempt

    String LeftText = "LEFT";
    String RightText = "RIGHT";

    final String resultText = LeftText + "  " + RightText;
    final SpannableString styledResultText = new SpannableString(resultText);
    styledResultText.setSpan(new AlignmentSpan.Standard(Alignment.ALIGN_OPPOSITE), LeftText.length() + 1, LeftText.length() + 2 +RightText.length(), Spannable.SPAN_EXCLUSIVE_EXCLUSIVE);
    textView.setText(styledResultText);

But none of them seems to work.