There are 6 Boron atoms in the products, so there must be 6 boron atoms on the reactant side, so #6H_6BO_3#.
There are #6 xx 3 = 18# oxygen atoms on the reactant side, so there must be 18 on the product side. There are already 11 in the #H_4B_6O_11# so there are #18 - 11 = 7# left, so there are 7 #H_2O# molecules in the products.
There are #6 xx 3 = 18# hydrogen atoms in the reactants and there are #4 + (7 xx 2) = 18# in the products, so that is balanced.
In the end we have:
#18# oxygen atoms in the reactants and #18# in the products
#6# boron atoms in the reactants and #6# in the products
#18# hydrogen atoms in the reactants and #18# in the products
so the equation is balanced.