Solve for a: (2a - 3)/6 = (4a)/3 + 2/3

[SloaneRAstrik]

I am going insane. I am terrible at algebra, and this question is driving me loco. It would be very much appreciated if someone could solve this and show me exactly how it was done, so I may better understand them all. Thanks!

(2a - 3)/6 = (4a)/3 + 2/3 (Solve for a)

 

[tkhunny]

Multiply everything by 6 and see if it looks any better.

Why did I pick '6'?