[android] Padding between ActionBar's home icon and title

I solved this problem by using custom Navigation layout

Using it you can customize anything in title on action bar:

build.gradle

dependencies {
    compile 'com.android.support:appcompat-v7:21.0.+'
    ...
}

AndroidManifest.xml

<application
        android:icon="@drawable/ic_launcher"
        android:label="@string/app_name">
        <activity
            android:name=".MainActivity"
            android:theme="@style/ThemeName">
            <intent-filter>
                <action android:name="android.intent.action.MAIN" />
                <category android:name="android.intent.category.LAUNCHER" />
            </intent-filter>
        </activity>
</application>

styles.xml

<style name="ThemeName" parent="Theme.AppCompat.Light">
   <item name="actionBarStyle">@style/ActionBar</item>
   <item name="android:actionBarStyle" tools:ignore="NewApi">@style/ActionBar</item>

<style name="ActionBar" parent="Widget.AppCompat.ActionBar">
   <item name="displayOptions">showCustom</item>
   <item name="android:displayOptions" tools:ignore="NewApi">showCustom</item>

    <item name="customNavigationLayout">@layout/action_bar</item>
   <item name="android:customNavigationLayout" tools:ignore="NewApi">@layout/action_bar</item>

    <item name="background">@color/android:white</item>
   <item name="android:background">@color/android:white</item>

action_bar.xml

<?xml version="1.0" encoding="utf-8"?>
<TextView xmlns:android="http://schemas.android.com/apk/res/android"
          android:id="@+id/action_bar_title"
          android:layout_width="wrap_content"
          android:layout_height="wrap_content"
          android:gravity="center_vertical"
          android:drawableLeft="@drawable/ic_launcher"
          android:drawablePadding="10dp"
          android:textSize="20sp"
          android:textColor="@android:color/black"
          android:text="@string/app_name"/>