Emacs backspace at beginning of tabbed line similar to intellij?

Question

In intellij, when you're at a tab indent of let's say 4, at the beginning of a new line, and you press backspace, it backspaces through all of the preceding whitespace and goes to the tab indent of 4 at the previous line.

In emacs, in the same situation, it backspace through a single space.

How do I make emacs behave like intelij's backspace system? Is there a plugin for this?

Here's an example of what happens when you hit backspace in intelij:

Answer 1

I believe this is close to what you want:

(defun my-backspace ()
  (interactive)
  (let* ((end (save-excursion
                (end-of-line)
                (point)))
         (beginning (save-excursion
                      (beginning-of-line)
                      (point))))
    (if (string-match "^[ \t]*$" (buffer-substring beginning end))
        (progn
          (beginning-of-line)
          (kill-line)
          (previous-line)
          (indent-for-tab-command)
          (end-of-line))
      (c-electric-backspace))))

 (define-key c-mode-map (kbd "DEL") 'my-backspace)