Mg(OH)2 + FeCl2 �¨Fe(OH)2 +MgCl2 how can balance this equation don't understand

Mg(OH)2 + FeCl2 ==> Fe(OH)2 +MgCl2

This is a trial and error but it can be done easily this way.
Look at the Mg. Mg is OK. Fe is OK. Cl is ok. H and O are ok.
What do you know? It's balanced as is.

the equation is already balanced

To balance the chemical equation Mg(OH)2 + FeCl2 → Fe(OH)2 + MgCl2, you need to ensure that the number of atoms of each element is equal on both sides of the equation.

Here's a step-by-step process to balance the equation:

1. Start by checking the number of atoms for each element on each side of the equation:
Mg: 1 atom on the left, 1 atom on the right
O: 2 atoms on the left, 2 atoms on the right
H: 2 atoms on the left, 2 atoms on the right
Fe: 1 atom on the left, 1 atom on the right
Cl: 2 atoms on the left, 2 atoms on the right

2. Balance the metal atoms first. In this case, we have Mg and Fe.
Place a coefficient of "2" in front of Fe(OH)2, giving you: Mg(OH)2 + 2FeCl2 → Fe(OH)2 + MgCl2
Now, we have balanced the number of iron (Fe) atoms.

3. Next, balance the hydrogen atoms.
There are 2 hydrogen (H) atoms on both sides of the equation, so there is no need to modify anything.

4. Finally, balance the oxygen atoms.
On the left side, there are 2 oxygen (O) atoms from Mg(OH)2.
On the right side, there are 4 oxygen (O) atoms from 2Fe(OH)2.
To balance the oxygen atoms, place a coefficient of "2" in front of Mg(OH)2:
2Mg(OH)2 + 2FeCl2 → 2Fe(OH)2 + MgCl2

Now, the equation is balanced with the same number of atoms for each element on both sides.