Generally you will have to use curves (with the 3 or 4 channels to be tweaked individually, and possibly having multiple curves (or other types of layers depending on the initial aim) . You'll be using the tools of standard colour correction.
I would be a deep subject to go into if you're new to this, and more approacble if you got a little experience using photoshop.
If you are not in a hurry, and can scan the artwork again, get yourself one of these
https://www.skearsphoto.com/photo-editing/perfect-pixs-digital-mini-3-tone-cards.html
that you will scan alongside the artwork. You will then have a target that you can use to determine what is real black, real white, and crucially a middle grey.
THere are two ways to colour correct in Photoshop:
Using the curves, Hue saturation, colour balance etc... with masks, and using what is called the Camera Raw Filter.
(certain scanners also have an inbuilt colour correction tool, but I wouldn't use it)
The Perfect-Pixs 3 Tone Mini Cards (set of 2) is designed to help digital photographers improve colour balance of their digital images, and provides an easy way to achieve proper grey balance for the lighting conditions that your photo is being taken under. Each card has a white, black and middle grey patch that make it easy to determine your wh...