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

Solution for 2(x-1)+x=x-3(2-3x) equation:

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

We simplify the equation to the form, which is simple to understand 
2(x-1)+x=x-3(2-3x)

Reorder the terms in parentheses
+(+2x-2)+x=x-3*(2-3x)

Remove unnecessary parentheses
+2x-2+x=+x-3+*(+2-3x+)

Reorder the terms in parentheses
+2x-2+x=x+(-6+9x)

Remove unnecessary parentheses
+2x-2+x=+x-6+9x

We move all terms containing x to the left and all other terms to the right. 
+2x+1x-1x-9x=-6+2

We simplify left and right side of the equation. 
-7x=-4

We divide both sides of the equation by -7 to get x. 
x=0.571428571429