Why equations must be balanced
The law of conservation of mass says atoms are never created or destroyed in a chemical reaction — only rearranged. A balanced equation is simply an honest equation: every atom entering on the left comes out somewhere on the right. An unbalanced equation describes something physically impossible.
The golden rule
Adjust coefficients (2H₂O ✓) — never subscripts (H₂O → H₂O₂ ✗ changes the substance)
How coefficients work
A coefficient multiplies the entire formula after it: 3Ca(OH)₂ means 3 calcium atoms, 6 oxygens and 6 hydrogens. Coefficients tell you the ratio of molecules reacting — 2H₂ + O₂ → 2H₂O reads “two hydrogen molecules react with one oxygen molecule to give two water molecules”.
Balancing combustion by hand
Balance C₃H₈ + O₂ → CO₂ + H₂O.
- Balance C first: 3 carbons → 3CO₂.
- Balance H next: 8 hydrogens → 4H₂O.
- Count O on the right: 6 + 4 = 10 → 5O₂ on the left.
Answer: C₃H₈ + 5O₂ → 3CO₂ + 4H₂O
Common mistakes
For the full manual method with more examples, see How to Balance Chemical Equations.