How to lighten up black parts of an image in Photoshop CC ?

Wow. I am impressed of the friendliness and availbility of the people on this forum  to teach the not-so-advanced users things in a very concise manner. (After all, we were alll sometime at that point) I will definitely try some of the suggestions posted here when I get home and I will offer one of you the "correct answer." badge. Thank you for taking the time and patience to explain in detail , especially Cari Jansen for your lenghty tutorialwhich I can folllow.

Oh...and apologies if I messed up some words or some sentences sound weird, I am not living in an english-speaking country.

Photoshop offers multiple ways to do almost anything. Personally I think the Camera Raw filter is the best option as outlined by KR Seals​. You can make this edit non destructively if you make it a smart object first, as explained by chanaart​. I would move the shadow slider to the right, as far as needed to see the details in his shirt. If the background goes too light try moving the exposure and highlights slider to the left just slightly. I think you can accomplish what you want with these edits. If you can’t get the rider and the background both looking good, you can apply a mask to the camera raw edit so that it only effects the rider. Similar to what Chuck Uebele​ recommends.

There are a lot of different techniques you can use - hopefully other people will share their techniques as well, so you get an idea of the different approaches. I tend to work with Adjustment Layers.

Here's an example (not the best pic I know, but hopefully you can follow along):

1. Open the image in Photoshop
2. Choose Layer > New Adjustment Layer > Curves (you should see a new adjustment layer added in the Layers panel above the Background).
   
3. Next in the Properties panel, add a point to the curve and move it upwards. You can add multiple points if needed.
   Note: you can also use the on image adjustment tool (the icon with the point finger), and click on it then drag upwards in a shadow/dark area of your image, this will automatically add a new point on the curve.
   
   Focus on the shadow areas of the image and ignore anything that happens to the light parts of the image as you are adjusting the curve in the Properties panel.  The entire image will start to lighten up as right now all the pixels will be affected. We'll fix that in the next step.
4. Select the Curves adjustment layer and choose Blending Options from the Layers panel menu.
   
5. Set the Blend Mode under General Blending to Luminosity, you'll see a bit of colour pop-back into the image where it was pulled out by the curves adjustment in step 3. Then in the Blend If section, leave Blend If set to Grey, and drag the white slider for This Layer to the left. What this will do is apply the curves adjustment only to the darker colours in the image.
   
6. Click OK.
7. You now still have the option to reduce the opacity of the Curves adjustment layer if needed, to decrease the severity of the lightening effect you've applied.
   

Or you can use blend if sliders to target just the darks then touch up areas with a mask.

Make a selection of the black in his outfit and use a curves layer clipped to it.

Few options:

One option to make a smart filter and use camera raw filter.

and play with the dark and lights.

Another way is to use Adjustment layers and paly with the mask to reveal and conceal the lights and dark!!

Once the image is open in PS, in the menu bar, go to Filters -> Camera Raw. In camera raw, move the "shadows" and or "blacks" sliders to suit your taste. Then, click OK in the lower right hand corner of the Camera Raw filter.