2x-2 - (x-1) = 4+x-1 (-3x)

2x - 2 - (x - 1) = 4 + x - 1 (-3x) ... first we distribute thru the parenthesis

2x - 2 - x + 1 = 4 + x + 3x ... now we combine like terms on each side

x - 1 = 4 + 4x ... subtract x from each side

-1 = 4 + 4x - x ... subtract 4 from both sides

-1 - 4 = 4x - x ... simplify

-5 = 3x ... divide both sides by 3

-5/3 = x <==