Na + H2O --> NaOH + H2
The balanced equation is:
2Na +2H2O -> 2NaOH +H2
2Na both sides
2O
and 4H
To get this equation, just pick an atom that needs to be balanced(starting with hydrogen for example). You see that there are three hydrogens on the right and two on the left, so it'll never work out without fractions. So you can multiply NaOH by 2, and then you have an even number of all atoms on the right side, and you can multiply accordingly on the left by 2.