Carbon atoms can share a pair of electrons with each other, not just with hydrogen. One shared pair between two carbon atoms is a single bond.
The smallest example is ethane, C₂H₆. Its two carbon atoms are joined by a single bond, and each carbon shares a pair with three hydrogen atoms too. Count the lines around either carbon: 1 to the other carbon plus 3 to hydrogen makes 4, just as lesson 1 promised.
Drag the model to turn it. Pinch to zoom, or use the buttons.
Because each carbon has hands left over, the chain can keep growing. Add more carbons and you get longer chains, like butane, C₄H₁₀, the fuel inside many lighters.
Drag the model to turn it. Pinch to zoom, or use the buttons.