Change color to all items in enumerate: only the "indicator"

Question

I don't know the right terminology, but what I am looking for is this: say I write

\begin{enumerate}[(1)]
\setcounter{enumi}{-1}
\item blabla
\item $x - 3 = 0 \iff x = 3$
\item The End.
\end{enumerate}

The output would be like

(1) blabla

(2) $x - 3 = 0 \iff x = 3$

(3) The End

Is there a way to have ONLY the numbers indicators coloured (I call them indicators because if I start nesting the enumerates, they change with letters, then with $i$ and so on...)?

Something like

\color{red}{(1)} blabla

\color{red}{(2)} $x - 3 = 0 \iff x = 3$

\color{red}{(3)} The End

Thank you! (Seems like here colors don't work, but you perhaps understand what I wish for).

ADD

I tried to use this code

\usepackage{enumitem, xcolor}
\setlist[enumerate]{label=\color{red}\arabic*.}
\setlist[itemize]{label=\color{blue}\textbullet}

\begin{document}
\section*{enumerate}
\begin{enumerate}
\item test
\item test
\end{enumerate}

\section*{itemize}
\begin{itemize}
\item test
\item test
\end{itemize}

\end{document}

From this question: Enumitem: global color modification of (possibly nested) list labels

But it doesn't work.

ADD 2

The problems lie in the contrast between

\usepackage{enumerate}
\usepackage{enumitem}

With the first one it's all ok, I can use

\begin{enumerate}[(1)]

and other "styles" (like using [a] or [i]), but this turns into errors if I switch to ENUMITEM.

On the contrary, with ENUMITEM I can have the labels coloured but I cannot have the styles of the labels.

Yet the part

\setlist[enumerate]{label=\color{red}\arabic*.}
\setlist[itemize]{label=\color{blue}\textbullet}

returns error if I use ENUMERATE.

Answer 1

Something like this?

\documentclass{article}
\usepackage[shortlabels]{enumitem}
\usepackage{xcolor}
\setlist[enumerate]{label=\textcolor{red}{(\arabic*)}}
\setlist[itemize]{label=\textcolor{blue}{\textbullet}}

\begin{document}

\section*{enumerate}
\begin{enumerate}
\item test
\item test
\end{enumerate}

Changing the label with \texttt{enumitem}'s syntax:
\begin{enumerate}[label=\textcolor{green}{\alph*}]
\item test
\item test
\end{enumerate}

Changing the label with \texttt{enumerate}'s syntax:
\begin{enumerate}[\color{purple}(a)]
\item test
\item test
\end{enumerate}

\section*{itemize}
\begin{itemize}
\item test
\item test
\end{itemize}

\end{document}