First write the unbalanced equation:
H2SO3 + MOH → M2SO3 + H2O
Note the most common reaction for these reactants is the formation of water
Then balance the M
H2SO3 + 2MOH → M2SO3 + H2O
Balance the SO3 as a group. It is balanced
Check H: 4 on left, 2 on the right. Balance with water.
H2SO3 + 2MOH → M2SO3 + 2H2O
Check O. 5 on the left, 5 on the right
Check M. 2 left, 2 right
Check H. 4 left, 4 right
Check S. 1 left, 1 right
All balanced.