Answer
Balanced equation:
$2Al(s) + 3Cl_2(g) --\gt 2AlCl_3(s)$
Reaction type: Combination.
Work Step by Step
$Al(s) + Cl_2(g) --\gt AlCl_3(s)$
1. Balance the number of chlorine atoms, by putting a "2" in front of $AlCl_3$, and a "3" in front of $Cl_2$.
$Al(s) + 3Cl_2(g) --\gt 2AlCl_3(s)$
2. Balance the number of aluminum atoms, by putting a "2" in front of $Al$.
$2Al(s) + 3Cl_2(g) --\gt 2AlCl_3(s)$
3. Classify the reaction.
That reaction follows the pattern for a combination reaction.
$A + B --\gt AB$