Hey there!
AlCl₃ + NaOH → Al(OH)₃ + NaCl
Balance OH.
1 on the left, 3 on the right. Add a coefficient of 3 in front of NaOH.
AlCl₃ + 3NaOH → Al(OH)₃ + NaCl
Balance Cl.
3 on the left, 1 on the right. Add a coefficient of 3 in front of NaCl.
AlCl₃ + 3NaOH → Al(OH)₃ + 3NaCl
Balance Na.
3 on the left, 3 on the right. Already balanced.
Balance Al.
1 on the left, 1 on the right. Already balanced.
Our final balanced equation: AlCl₃ + 3NaOH → Al(OH)₃ + 3NaCl
Hope this helps!