Solve for A ... Help - 10 points...?

2/3A=8+4A
2/3A-12/3A=8
-10/3A=8
-10A=24
10A=-24
A= -24/10= -2.4

2/3(A) = 8 + 4A
2A/3 = 8 + 4A
2A = 3(8 + 4A)
2A = 3*8 + 3*4A
2A = 24 + 12A
2A - 12A = 24
-10A = 24
A = 24/-10
A = -12/5 (-2.4)

Here is what you do:

1) Put everything on one side using +/-, as follows:

(2/3)a - 4a = 8

2) Next, let's multiply the whole equation by 3, so we can get rid of that nasty fraction!

2a - 12a = 24 Oh! Heres a bonus, looks like (+) 2a and (-) 12a can combine like terms! Thus, -10a = 24

3) Now its easy! So, divide -10 by 24
Guess what you get?

-2.4 of course! Because (24 / -10) is 2.4.

This problem looks strange because its got (a) on both sides, but its really just a trick.

2/3 A-4A=8
(2-12)/3 x A=8
-10A=24
A=-24/10=-2.4