x-1+2(x-2)-3(x-3)=5

Solution for x-1+2(x-2)-3(x-3)=5 equation:

x-1+2(x-2)-3(x-3)=5

We simplify the equation to the form, which is simple to understand 
x-1+2(x-2)-3(x-3)=5

Reorder the terms in parentheses
x-1+(+2x-4)-3*(x-3)=5

Remove unnecessary parentheses
+x-1+2x-4-3+*(+x-3+)=+5

Reorder the terms in parentheses
x-1+2x-4+(-3x+9)=5

Remove unnecessary parentheses
+x-1+2x-4-3x+9=+5

We move all terms containing x to the left and all other terms to the right. 
+1x+2x-3x=+5+1+4-9

We simplify left and right side of the equation. 
0x=+1

0=1

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