How to move main content with Drawer Layout left side

If you dont want to use third-party libraries, you can implement it yourself just overriding the onDrawerSlide from the ActionBarDrawerToggle. There you can translate your framelayout view based on the opening % of your drawer.

Example with code:

<?xml version="1.0" encoding="utf-8"?>
<android.support.v4.widget.DrawerLayout
xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/drawer_layout"
android:layout_width="match_parent"
android:layout_height="match_parent">

    <FrameLayout android:id="@+id/content_frame"
    android:layout_width="match_parent"
    android:layout_height="match_parent"/>    

    <ListView android:id="@+id/left_drawer"
    android:layout_width="240dp"
    android:layout_height="match_parent"
    android:layout_gravity="start"
    android:choiceMode="singleChoice"
    android:divider="@android:color/transparent"
    android:dividerHeight="0dp"/>

</android.support.v4.widget.DrawerLayout>

And here, override onDrawerSlide:

public class ConfigurerActivity extends ActionBarActivity 
{
    private DrawerLayout mDrawerLayout;
    private ListView mDrawerList;
    private ActionBarDrawerToggle mDrawerToggle;
    private FrameLayout frame;
    private float lastTranslate = 0.0f;

    public void onCreate(Bundle savedInstanceState)
    {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.main_layout);

        mDrawerLayout = (DrawerLayout) findViewById(R.id.drawer_layout);
        mDrawerList = (ListView) findViewById(R.id.left_drawer);
        frame = (FrameLayout) findViewById(R.id.content_frame);

        mDrawerToggle = new ActionBarDrawerToggle(this, mDrawerLayout, R.drawable.ic_drawer, R.string.acc_drawer_open, R.string.acc_drawer_close) 
        {            
            @SuppressLint("NewApi")
            public void onDrawerSlide(View drawerView, float slideOffset)
            {
                super.onDrawerSlide(drawerView, slideOffset);
                float moveFactor = (mDrawerList.getWidth() * slideOffset);

                if (Build.VERSION.SDK_INT >= Build.VERSION_CODES.HONEYCOMB) 
                {
                    frame.setTranslationX(moveFactor);
                }
                else
                {
                    TranslateAnimation anim = new TranslateAnimation(lastTranslate, moveFactor, 0.0f, 0.0f);
                    anim.setDuration(0);
                    anim.setFillAfter(true);
                    frame.startAnimation(anim);

                    lastTranslate = moveFactor;
                }
            }
        };

        mDrawerLayout.setDrawerListener(mDrawerToggle);

        // ... more of your code
    }
}

Since setTranslationX is not available in pre-honeycomb android versions, i managed it using TranslateAnimation for lower version devices.

Hope it helps!