4(x-1)-6(x+3)=2(x-9)

Solution for 4(x-1)-6(x+3)=2(x-9) equation:

4(x-1)-6(x+3)=2(x-9)

We simplify the equation to the form, which is simple to understand 
4(x-1)-6(x+3)=2(x-9)

Reorder the terms in parentheses
+(+4x-4)-6*(x+3)=2*(x-9)

Remove unnecessary parentheses
+4x-4-6+*(+x+3+)=+2+*(+x-9+)

Reorder the terms in parentheses
+4x-4+(-6x-18)=2*(x-9)

Remove unnecessary parentheses
+4x-4-6x-18=+2+*(+x-9+)

Reorder the terms in parentheses
+4x-4-6x-18=+(+2x-18)

Remove unnecessary parentheses
+4x-4-6x-18=+2x-18

We move all terms containing x to the left and all other terms to the right. 
+4x-6x-2x=-18+4+18

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

We divide both sides of the equation by -4 to get x. 
x=-1