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If by solving bond enthalpy equations you mean using bond enthalpies to find the enthalpy of a reaction then you want to first find out which bonds are being broken and which are being formed. Then you sum the enthalpies of the breaking bonds and the forming bonds separately. Then you subtract the sum of the formed bonds from the broken bonds.
Bond enthalpy is defined as the amount of energy required to break a bond. You can calculate bond enthalpy of a reaction by subtracting the total bond enthalpies of products from the total bond enthalpies of reactants.
In order to see which bonds are being broken, you can draw out the structures and see which ones would need to break in order to form the new structure. However, I think you can also just subtract the energy needed to break all the bonds from the energy released from forming all the bonds, which might be easier.
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