1/2(n-4)-3=3-(2n+3)

Solution for 1/2(n-4)-3=3-(2n+3) equation:

1/2(n-4)-3=3-(2n+3)

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

Reorder the terms in parentheses
+( + 0.5n-2)-3=3-(2n+3)

Remove unnecessary parentheses
 + 0.5n-2-3=+3-(+2n+3+)

Remove unnecessary parentheses
 + 0.5n-2-3=3-2n-3

We move all terms containing n to the left and all other terms to the right. 
 + 0.5n+2n=+3-3+2+3

We simplify left and right side of the equation. 
+2.5n=+5

We divide both sides of the equation by 2.5 to get n. 
n=2