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

Solution for 2(x-1)-1=4x-2(3+x) equation:

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

We simplify the equation to the form, which is simple to understand 
2(x-1)-1=4x-2(3+x)

Reorder the terms in parentheses
+(+2x-2)-1=4x-2*(3+x)

Remove unnecessary parentheses
+2x-2-1=+4x-2+*(+3+x+)

Reorder the terms in parentheses
+2x-2-1=4x+(-6-2x)

Remove unnecessary parentheses
+2x-2-1=+4x-6-2x

We move all terms containing x to the left and all other terms to the right. 
+2x-4x+2x=-6+2+1

We simplify left and right side of the equation. 
0x=-3

0=-3

The left and right sides are not equal, therefore there is no solution. This equation is invalid.