A. Given the equation 2 (3x - 4) = 5x + 6, solve for the variable. Explain each step and justify your process.

Well I don't know what you mean by justify, but here is how I would go about it:

2 (3x-4) = 5x+6

Distribute the 2:

6x-8=5x+6

Add the 8 to the other side, because it's a negative

6x-8=5x+6

+8 + 8

Then you would have 6x=5x+14

Subtract the 5x

6x=5x+14

-5x

1x=14

Divide by 1

x=14

Your answer is x=14