Skip to main content

How to Balance Chemical Equations

By the Periodixy Editorial Team · Last reviewed July 10, 2026

A chemical equation is balanced when every element has the same number of atoms on both sides. This is not a bookkeeping formality — it is the law of conservation of mass: atoms are never created or destroyed in a reaction, only rearranged.

Balancing means adjusting the big numbers in front of formulas (coefficients) — never the little subscripts inside them.

Beakers of coloured solutions illustrating chemical reactions
Photo by www.kaboompics.com on Pexels

The golden rule

You may change

Coefficients: 2H₂O ✓ Never subscripts: H₂O → H₂O₂ ✗

Changing a subscript changes the substance. H₂O is water; H₂O₂ is hydrogen peroxide, a completely different (hair-bleaching) compound. Coefficients just say how many of each molecule take part.

The counting method, step by step

  1. Write the unbalanced equation with correct formulas.
  2. Count atoms of each element on both sides.
  3. Balance elements that appear in only one substance per side first.
  4. Balance oxygen and hydrogen last (they often appear in several substances).
  5. Recount everything. If a coefficient ends up fractional, multiply the whole equation to clear it.

Example 1: Hydrogen + oxygen

Balance H₂ + O₂ → H₂O.

  1. Count: left has 2 H, 2 O; right has 2 H, 1 O. Oxygen is short.
  2. Put a 2 before H₂O: now right has 4 H, 2 O.
  3. Hydrogen is now short on the left — put a 2 before H₂.
  4. Final count: 4 H and 2 O on each side. Balanced.

Answer: 2H₂ + O₂ → 2H₂O

Example 2: Propane combustion

Balance C₃H₈ + O₂ → CO₂ + H₂O.

  1. Balance carbon: 3 C on the left → put 3 before CO₂.
  2. Balance hydrogen: 8 H on the left → put 4 before H₂O.
  3. Count oxygen on the right: (3 × 2) + (4 × 1) = 10 → put 5 before O₂.

Answer: C₃H₈ + 5O₂ → 3CO₂ + 4H₂O

Example 3: Metal + acid

Balance Al + HCl → AlCl₃ + H₂.

  1. Chlorine: 3 needed on the left → 3HCl. But now H is 3 (odd) and H₂ needs even numbers.
  2. Double everything involving H and Cl: 6HCl → 2AlCl₃ + 3H₂.
  3. Balance aluminium: 2Al.

Answer: 2Al + 6HCl → 2AlCl₃ + 3H₂

Common mistakes to avoid

  • Changing subscripts instead of coefficients — the number one error.
  • Forgetting a coefficient multiplies the whole formula: 3Ca(OH)₂ contains 3 Ca, 6 O and 6 H.
  • Leaving the equation with a common factor: 4H₂ + 2O₂ → 4H₂O should be simplified to 2H₂ + O₂ → 2H₂O.
  • Miscounting polyatomic ions — if SO₄ appears unchanged on both sides, count it as one unit to save effort.

Check any equation instantly with the Chemical Equation Balancer — it shows the atom tally on both sides so you can see the conservation of mass at work.

Summary

  • Balanced equations have equal atoms of every element on both sides — the law of conservation of mass.
  • Only coefficients may change; subscripts define the substances themselves.
  • Balance single-appearance elements first; save H and O for last.
  • Always simplify to the smallest whole-number coefficients.

Frequently asked questions

Why must chemical equations be balanced?

Because atoms are conserved in chemical reactions. An unbalanced equation claims atoms appeared or vanished, which never happens in chemistry.

Can coefficients be fractions?

As a temporary step, yes — chemists sometimes write ½O₂. Final answers in school chemistry should use the smallest whole numbers.

What if an element appears in many compounds on one side?

Balance it last. Elements that appear in only one place on each side pin down coefficients quickly; leftover elements (often O and H) then fall into place.

Practise with these tools

Related study guides