If you managed to change your sixth string, the other five strings will only get easier. The only part of the process that differs on the remaining strings is the direction you'll feed the strings through the tuning pegs. For strings three, two, and one, as the tuners are on the other side of the headstock, you'll need to be feed the string through the tuning pegs in the opposite direction. Because of this, the direction you'll turn the tuners to tighten the string is also opposite. While holding the guitar in normal playing position, turning the tuners "up" (away from the body of the guitar) will tune the string higher for strings six, five, and four. In order to tune strings three, two, and one higher, you'll need to turn the tuners for those strings "down" (towards the body of the guitar).
(NOTE: If you own a guitar that has all six tuners on the same side of the headstock, then you'll ignore this and put all six strings on in the exact same manner.)
That's it! You've learned the process of tuning an acoustic guitar. It may seem overly tricky at first, but after a few full string changes, you'll have the procedure mastered. Best of luck!