(Darn! Wyzant doesn't pictures to be posted.)
If you aren't already, I recommend using Logisim. I found it really useful when starting out with logical gates. Here's the link: http://www.cburch.com/logisim/
*Ahem* With recommendations now done...
To start out, first draw out some input wires. In this case, draw 5 wires representing A, B, C, D, and E.
Once you've drawn those, I draw out an AND gate for each AND expression in an equation. For X1, there would be three AND gates for A*B*C, A*B, and A*C, and for X2, there would just be one AND gate for A*B*C. Then connect the AND gates to their respective lines.
Once you've drawn the AND gates, draw out the NOT gates. For X2, there would be a NOT gate for both D and E.
Finally, for each equation, have a single OR gate that connects all the logical gates in an equation together. In the case of X1, we'd have a 3-input OR gate that connects ABC, AB, and AC, and in the case of X2, we'd have a 3-input OR gate that connects ABC, ~D, and ~E. You're done after that!
Should look like something like this: https://imgur.com/a/jVjrPAf
Note that we used 3-input gates. If you're required to use only 2-input gates, then you'll need to cascade logical gates. (Shown in the imgur link)