J.R. S. answered 11/20/18
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
This is a combustion reaction. The easiest way to balance combustion reactions is to balance the carbons first, then the hydrogens and finally the oxygens.
C8H18 + O2 ==> CO2 + H2O
Balancing C first you get: C8H18 + O2 ==> 8CO2 + H2O
Balancing H next you get: C8H18 + O2 ==> 8CO2 + 9H2O
Finally, balance O to get: C8H18 + 12.5O2 ==> 8CO2 + 9H2O
Since you have fractions of O2, simply multiply all coefficients by 2 to get....
2C8H18 + 25O2 ===> 16CO2 + 18H2O -> Correctly balanced equation