5-2(x-5)+6=3+4(6-x)

Solution for 5-2(x-5)+6=3+4(6-x) equation:

5-2(x-5)+6=3+4(6-x)

We simplify the equation to the form, which is simple to understand 
5-2(x-5)+6=3+4(6-x)

Reorder the terms in parentheses
5+(-2x+10)+6=3+4*(6-x)

Remove unnecessary parentheses
+5-2x+10+6=+3+4+*(+6-x+)

Reorder the terms in parentheses
5-2x+10+6=3+(+24-4x)

Remove unnecessary parentheses
+5-2x+10+6=+3+24-4x

We move all terms containing x to the left and all other terms to the right. 
-2x+4x=+3+24-5-10-6

We simplify left and right side of the equation. 
+2x=+6

We divide both sides of the equation by 2 to get x. 
x=3