Balancing equations

Consider the reaction of heptane (C7H16) with oxygen to give carbon dioxide and water.
Step 1:
The equation must use correct formulae and have the form reactants products.

C7H16 + O2 CO2 + H2O
 
Step 2:
Count the numbers of each type of atom in reactants in products.
 
7 C 16 H and 2 O in reactants  1 C 2 H 3 O in products

Step 3: Balance the element that occurs in the fewest formulae by changing the coefficient in one or more of these. 
If there is more than one element in this category, choose an element other than oxygen or hydrogen.

C7H16 + O2 7CO2 + H2O

Step 4: Then balance the one of the other atoms that occurs least often.
 
H is chosen because it is in one reactant and one product.
C7H16 + O2  7CO2 + 8H2O
7 C and 16 H and 2 O  7 C and 16 H and (14+8) O

Step 5: Continue by balancing any remaining atoms.
 
C7H16 + 11O2 7CO2 + 8H2O
7 C and 16 H and 22 O7 C and 16 H and (14+8) O