Formation of 2-Methyl-2-butene

2-Methyl-2-butene was a by product formed from the reaction of t-pentyl chloride and HCl. Write a brief mechanism that explains the formation of this by product.

........CH3
........|
CH3-C-CH2-CH3 + HCl(aq) ===>
........|
.......Cl

.......CH3
........|
CH3-C-CH2-CH3 + Cl-
......(+)

........CH3
........|
CH3-C=CH-CH3 + H+

You have to write your own "electron push."