Balance each of the following neutralization reactions.

Question

Part A
HBr(aq)+Mg(OH)2(s)-->MgBr2(aq)+H2O(l)
Part B
H3PO4(aq)+NaOH(aq)-->Na3PO4(aq)+H2O(l)

Answer 1

Trial and error.
HBr(aq)+Mg(OH)2(s)-->MgBr2(aq)+H2O(l)

Here is how I do these. It takes a little practice.
I look on the right and see Mg is ok but Br is Br2. So on the left I place a 2 for HBr.
2HBr(aq)+Mg(OH)2(s)-->MgBr2(aq)+H2O(l)

That takes care of everything except H and O. Since I know the 2 for HBr is right AND the 1 for Mg(OH)2 is right, I can count up H I have4 on the left and make the right equal to that. So I have 2H from 2HBr and I have 2H from (OH)2 which makes 4 H. On the right then I must place a 2 for 2H2O.
2HBr(aq)+Mg(OH)2(s)-->MgBr2(aq)+2H2O(l)

The only thing left is to check O and it SHOULD balance. On the left I have 2O atoms (from (OH)2) and on the right I have 2 O atoms (from 2H2O). Everything balances.