Just in case you didn't know the "direct distance entry" trick, try this:
Start the line command (say press L followed by <enter> or <space>). AutoCAD prompts you for the first point. Click on the screen to enter it. When AutoCAD prompts you for the next point, move the mouse to the desired place in order to define the direction (OSNAP is useful at this point!), but don't click. Leave the mouse in that place and enter from the keyboard (+ 5 2 3)<enter>
That should draw the line you are after. From there you can continue the line command, meaning to draw the next line, or press <enter> again to exit.
Please note that you must enter the plus sign first, a space, and next enter all the numbers to be added, separated by a space.
It is not so complicated...