If you want to use the standard checkbox control, set the FlowDirection of the path to LeftToRight, but if you create your own template, it will not work. Create your own style template for a CheckBox like this, and set the FlowDirection from the main grid to LeftToRight ":
<Style TargetType="{x:Type CheckBox}">
<Setter Property="SnapsToDevicePixels" Value="true" />
<Setter Property="OverridesDefaultStyle" Value="true" />
<Setter Property="Height" Value="30" />
<Setter Property="FocusVisualStyle" Value="{DynamicResource MyFocusVisualStyte}" />
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type CheckBox}">
<BulletDecorator>
<BulletDecorator.Bullet>
<Grid FlowDirection="LeftToRight" Height="{TemplateBinding Height}" Width="{Binding RelativeSource={RelativeSource Self}, Path=Height, UpdateSourceTrigger=PropertyChanged}"
MinHeight="30" MinWidth="30" ShowGridLines="False">
<Grid.ColumnDefinitions>
<ColumnDefinition Width="4*" />
<ColumnDefinition Width="1*" />
<ColumnDefinition Width="1*" />
<ColumnDefinition Width="4*" />
<ColumnDefinition Width="1*" />
<ColumnDefinition Width="1*" />
<ColumnDefinition Width="2*" />
<ColumnDefinition Width="2*" />
</Grid.ColumnDefinitions>
<Grid.RowDefinitions>
<RowDefinition Height="3*" />
<RowDefinition Height="1*" />
<RowDefinition Height="1*" />
<RowDefinition Height="1*" />
<RowDefinition Height="4*" />
<RowDefinition Height="1*" />
<RowDefinition Height="1*" />
<RowDefinition Height="4*" />
</Grid.RowDefinitions>
<Border Name="MainBorder"
Grid.ColumnSpan="9" Grid.RowSpan="9"
CornerRadius="4"
BorderThickness="1"
Background="Transparent" />
<Border Name="InnerBorder"
Grid.Column="1" Grid.ColumnSpan="5"
Grid.Row="2" Grid.RowSpan="5"
BorderThickness="1"
BorderBrush="#808080" />
<Path Name="InnerPath"
Grid.Column="1" Grid.ColumnSpan="5"
Grid.Row="2" Grid.RowSpan="5"
Data="M31,5 L19.5,5 19.5,19.5 34.5,19.5 34.5,11.75"
Stretch="Fill" Stroke="Red"/>
<Path Name="CheckMark"
Grid.Column="2" Grid.ColumnSpan="5"
Grid.Row="1" Grid.RowSpan="5"
Opacity="0"
Data="M9.07743946676476E-09,4.31805768640244L4.68740335877841,8.86361158398516C4.68740335877841,8.86361158398516,16.3281249985376,-2.42451336648723,16.3281249985376,-2.42451336648723L14.0622100581796,-4.77304938341948 4.68740335877846,4.31805791992662 2.22656251699567,1.93164208562579z"
Fill="#3babe3"
Stretch="Fill"
Stroke="#3babe3" />
<Path Name="InderminateMark"
Grid.Column="3"
Grid.Row="4"
Data="M0,4 L1,5 5,1 4,0"
Opacity="0"
Stretch="Fill"
StrokeThickness="0"
Fill="#808080" />
</Grid>
</BulletDecorator.Bullet>
<VisualStateManager.VisualStateGroups>
<VisualStateGroup x:Name="CheckStates">
<VisualState x:Name="Checked">
<Storyboard>
<DoubleAnimation Storyboard.TargetProperty="Opacity"
Storyboard.TargetName="CheckMark" Duration="0:0:0.2" To="1" />
</Storyboard>
</VisualState>
<VisualState x:Name="Unchecked" >
<Storyboard>
<DoubleAnimation Storyboard.TargetProperty="Opacity"
Storyboard.TargetName="CheckMark" Duration="0:0:0.2" To="0" />
</Storyboard>
</VisualState>
<VisualState x:Name="Indeterminate">
<Storyboard>
<DoubleAnimation Storyboard.TargetProperty="Opacity"
Storyboard.TargetName="InderminateMark" Duration="0:0:0.2" To="1" />
</Storyboard>
</VisualState>
</VisualStateGroup>
</VisualStateManager.VisualStateGroups>
<ContentPresenter Margin="4,0,4,0"
VerticalAlignment="Center"
HorizontalAlignment="Left"
RecognizesAccessKey="True" />
</BulletDecorator>
<ControlTemplate.Triggers>
<Trigger Property="IsChecked" Value="True">
<Setter TargetName="InnerBorder" Property="Visibility" Value="Collapsed" />
</Trigger>
<Trigger Property="IsPressed" Value="True">
<Setter TargetName="MainBorder" Property="Background" Value="#81d2eb" />
</Trigger>
<Trigger Property="IsEnabled" Value="False">
<Setter TargetName="CheckMark" Property="Fill" Value="#cccccc" />
<Setter TargetName="CheckMark" Property="Stroke" Value="#cccccc" />
<Setter TargetName="InnerPath" Property="Stroke" Value="#cccccc" />
<Setter TargetName="InderminateMark" Property="Fill" Value="#cccccc" />
<Setter TargetName="InnerBorder" Property="BorderBrush" Value="#cccccc" />
</Trigger>
</ControlTemplate.Triggers>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="MyFocusVisualStyte" >
<Setter Property="Control.Template">
<Setter.Value>
<ControlTemplate>
<Rectangle x:Name="FocusStyle" StrokeDashArray="4 4" RadiusX="5" RadiusY="5" Fill="Transparent"
Stroke="#81d2eb" StrokeThickness="1" />
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
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