(x-3-1)-(-12+3)=-(-6+1)

Solution for (x-3-1)-(-12+3)=-(-6+1) equation:

(x-3-1)-(-12+3)=-(-6+1)

We simplify the equation to the form, which is simple to understand 
(x-3-1)-(-12+3)=-(-6+1)

Simplifying terms in parentheses
(-4+1x)-(-12+3)=-(-6+1)

Simplifying terms in parentheses
(-4+1x)-(-9)=-(-6+1)

Simplifying terms in parentheses
(-4+1x)-(-9)=-(-5)

Remove unnecessary parentheses
-4+1x-(-9)=-(-5)

Remove unnecessary parentheses
-4+1x+9=-(-5)

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

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

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

We divide both sides of the equation by 1 to get x. 
x=0