Question

http://docs.oracle.com/javase/specs/jls/se7/html/jls-14.html

14.4.1. Local Variable Declarators and Types

Each declarator in a local variable declaration declares one local variable, whose name is the Identifier that appears in the declarator.

{  
     int x = 10;
}

Which part of local variable declaration statement is is the declarator?

Answer 1

From the page you were looking at:

LocalVariableDeclaration:
    VariableModifiersopt Type VariableDeclarators

In other words, the declarator is the declared name and optional initializer: x = 10.