The oxidation numbers of all the atoms are: In SO42-, S = 6+, O = 2-; Al(s) = 0; In SO32-, S = 4+, O = 2-, and Al3+ = 3+
Al --> Al3+ + 3 e- (x 2) gives 2 Al --> 2 Al3+ + 6 e-
2 e- + SO42- + 2 H+ --> SO32- + H2O (x 3) gives
2 Al --> 2 Al3+ + 6 e-
6 e- + 3 SO42- + 6 H+ --> 3 SO32- + 3 H2O
Which, when combined, gives the net ionic REDOX equation as:
2 Al + 3 SO42- + 6 H+ ---> 2 Al3+ + 3 SO32- + 3 H2O
It is now balanced in acid (H+). To balance it now in base, "neutralize" the acid by adding OH- to each side: So we add 6 OH- to both the reactants side & the products side. This results in 6 HOH (water) molecules on the left and 6 OH- on the right. We have 3 H2O molecules on the right from the acid balance, so we can subtract those three from the 6 on the left, and the resulting net ionic REDOX equation becomes:
2 Al + 3 SO42- + 3 H2O --> 2 Al3+ + 3 SO32- + 6 OH-