What is the balanced equation of calcium carbonate (s) -> calcium oxide (s) + carbon dioxide (g)?

The equation is already balanced

In terms of molecular format the equation is written as follows:

##CaCO_3## ##rarr## ##CaO## + ##CO_2##

On the left hand side of the equation there are:

1 Calcium 1 Carbon 3 Oxygen

On the right side of the equation there are:

1 Calcium 1 + 2 = 3 Oxygen 1 Carbon

Therefore the left side equals the right side and is thus balanced.

Generally these summarized rules can be followed to balance equations:

Write the correct chemical formulas for all of the reactants and the products.
Write the formulae of the reactants on the LEFT of the reaction arrow; write the formulas of the products on the RIGHT of the reaction arrow.
Count the total number of atoms/ions of each element in the reactants and the total number of atoms/ions of each element in the products.
Balance the elements one at a time using coefficients. A coefficient is a small whole number that is written in front of a chemical formula in a chemical equation.

It is best to begin with elements other than hydrogen and oxygen! These elements often occur more than twice in equations.
Check each atom/ion, or poly-atomic ion to be sure that the equation is correctly balanced.
Finally, make sure that all of the coefficients are in the lowest possible whole number ratios.