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How do you balance double replacement equations?
You balance double replacement equations by pairing each cation with the anion from the other compound in the correct ratios.
Example
Write a balanced equation for the reaction between Fe(NO₃)₂ and Na₃PO₄.
Solution

Identify the cations and anions in each compound: Fe(NO₃)₂ has Fe²⁺ and NO₃⁻ Na₃PO₄ has Na⁺ and PO₄³⁻

Pair up each cation with the anion from the OTHER compound: Fe²⁺ pairs with PO₄³⁻ Na⁺ pairs with NO₃⁻

Write two new (CORRECT!!) formulas using the pairs from Step 2. Fe₃(PO₄)₂, since Fe is +2 and PO₄ is 3 NaNO₃ since Na is +1 and NO₃ is 1

Write the unbalanced equation Fe(NO₃)₂ + Na₃PO₄ → Fe₃(PO₄)₂ + NaNO₃

Balance the equation. The Fe₃(PO₄)₂ has 3 Fe and 2 PO₄ on the right, so you need 3 Fe and 2 PO₄ on the left: 3Fe(NO₃)₂ + 2Na₃PO₄ → Fe₃(PO₄)₂ + NaNO₃
Now we have 6 NO₃ on the left, so we need 6 NO₃ on the right.
The balanced equation is 3Fe(NO₃)₂ + 2Na₃PO₄ → Fe₃(PO₄)₂ +6NaNO₃
Here is a video to help with balancing double replacement reactions.