What is the reason for each step in the solution of the equation? 2/3x - 1/3 = 2 (x + 2)

x = -4/13

Step-by-step explanation:

Solve 2/3x - 1/3 = 2 (x + 2).

Rewrite this as (2/3)x - 1/3 = 2 (x + 2) to reduce ambiguity.

Eliminate fractions, first by multiplying all terms by 3:

2x - 1  = 6(x + 2).

Perform the indicated multiplication, so as to be able to combine like terms:

2x - 1 = 6x + 12

Combining like terms, -13 = 4x

Solving for x:  x = -4/13