Aligning textviews on the left and right edges in Android layout

Use a RelativeLayout with layout_alignParentLeft and layout_alignParentRight:

<RelativeLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    android:id="@+id/RelativeLayout01" 
    android:layout_width="fill_parent" 
    android:layout_height="fill_parent"
    android:padding="10dp">

    <TextView 
        android:layout_width="wrap_content" 
        android:layout_height="wrap_content"
        android:layout_alignParentLeft="true" 
        android:id="@+id/mytextview1"/>

    <TextView 
        android:layout_width="wrap_content" 
        android:layout_height="wrap_content" 
        android:layout_alignParentRight="true" 
        android:id="@+id/mytextview2"/>

</RelativeLayout>

Also, you should probably be using dip (or dp) rather than sp in your layout. sp reflect text settings as well as screen density so they’re usually only for sizing text items.