(5+x)-(2x+6)=(6+x)-(5+x)

Solution for (5+x)-(2x+6)=(6+x)-(5+x) equation:

(5+x)-(2x+6)=(6+x) - (5+x)

We simplify the equation to the form, which is simple to understand 
(5+x)-(2x+6)=(6+x)-(5+x)

Remove unnecessary parentheses
5+x-(2x+6)=(6+x)-(5+x)

Remove unnecessary parentheses
5+x-2x-6=(6+x)-(5+x)

Remove unnecessary parentheses
5+x-2x-6=6+x-(5+x)

Remove unnecessary parentheses
5+x-2x-6=6+x-5-1x

We move all terms containing x to the left and all other terms to the right. 
+1x-2x-1x+1x=+6-5-5+6

We simplify left and right side of the equation. 
-1x=+2

We divide both sides of the equation by -1 to get x. 
x=-2