5(x+2/3)=3x-2/3the answer is-2. show work so i can understand how to solve.

5(x + 2/3) = 3x - 2/3distribute the 5 through the parenthesis
5x + 10/3 = 3x - 2/3 subtract 3x from both sides
5x - 3x + 10/3 = 3x - 3x - 2/3...combine like terms
2x + 10/3 = - 2/3 subtract 10/3 from both sides
2x + 10/3 - 10/3 = -2/3 - 10/3...simplify
2x = - 12/3reduce
2x = - 4divide both sides by 2
x = -4/2reduces to -2

or this way...
5(x + 2/3) = 3x - 2/3distribute
5x + 10/3 = 3x - 2/3multiply by lowest common denominator of 3
15x + 10 = 9x - 2 subtract 9x from both sides
15x - 9x + 10 = -2 ...subtract 10 from both sides
6x + 10 - 10 = -2 - 10...simplify
6x = -12divide both sides by 6
x = -12/6 reduces to -2