Im trying to make a program that shifts all my elements of array to the right by one and move the last element
into the first position.how would i move the last number out then shift numbers over then move the last number back
into the fist position? here is my code

 #include <stdio.h>

        int main ()
          {
            int array[6];
            int x;
            int temp;

           printf("Enter six numbers.\n\n");

// ---------- gets numbers from user -------------------          
            for(x = 0; x < 6; x++) {
                printf ("Enter a number : ", x+1);
                scanf ("%d",&array[x]);
            }

// ----------------- move the last guy out -------------------

          //this is what i need help with

// ----------------- shift everybody over ---------------------      
       for(x = 6; x > 0; x--)
        {
            array[x]=array[x-1];
        }
// ------------------  put the last guy back into the first one ------          

// --------------------  print the array contents -------------------       
       for(x = 0; x < 6; x++)
       {

         printf("%d\n", array[x]);

       }

         return 0;
}

Use a temporary variable to store the last element of the array. Why not call it temp?
Do your shift to the right.
Assign temp to the first element of your array.

yeah i tried that at first can you help me with that logic please this is what I tried

// ----------------- move the last guy out -------------------

        temp=array[6];

// ----------------- shift everybody over ---------------------      
       for(x = 6; x > 0; x--)
        {
            array[x]=array[x-1];
        }

// ------------------  put the last guy back into the first one ------          

         temp=array[6];

         array[6]=array[0];

         array[6]=temp; 

// --------------------  print the array contents -------------------       
       for(x = 0; x < 6; x++)
       {

         printf("%d\n", array[x]);

       }

         return 0;
}
Remove lines 13 to 17 and replace with: array[0]=temp; 

EDIT: Just noticed int array[6]; is an array that goes from 0 to 5.
On line 8 you are indexing with 6. But I guess you are able to fix that yourself. Success!