To balance an equation, there has to be the same number of each atom/element on each side of the equation.
For example...
Aluminum + copper (II) oxide ----> Aluminum oxide + copper
Al + CuO ----> Al₂O₃ + Cu
on this side there is... on this side there is...
1 Al 2 Al
1 Cu 1Cu
1 O 3 O
You need to make both sides even... there needs to be the same amount of each elements on both sides, so we need to balance it.
2Al + 3CuO ----> Al₂O₃ + 3Cu
on this side there is... on this side there is...
2 Al 2 Al
3 Cu 3 Cu
3 O 3 O
Now the equation is balanced :)
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