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

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

Simplify both sides of the equation.

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

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

6x+-8=30x

6x-8=30x

Subtract 30x from both sides.

6x-8-30x=30x-30x

-24x-8=0

Add 8 to both sides.

-24x-8+8=0+8

-24x=8

Divide both sides by - 24.

-24x/-24 = 8/-24

x=-13