3(n+2)+0.5n=14-2(n+1)

Solution for 3(n+2)+0.5n=14-2(n+1) equation:

3(n+2) + 0.5n=14-2(n+1)

We simplify the equation to the form, which is simple to understand 
3(n+2) + 0.5n=14-2(n+1)

Reorder the terms in parentheses
+(+3n+6) + 0.5n=14-2*(n+1)

Remove unnecessary parentheses
+3n+6 + 0.5n=+14-2+*(+n+1+)

Reorder the terms in parentheses
+3n+6 + 0.5n=14+(-2n-2)

Remove unnecessary parentheses
+3n+6 + 0.5n=+14-2n-2

We move all terms containing n to the left and all other terms to the right. 
+3n + 0.5n+2n=+14-2-6

We simplify left and right side of the equation. 
+5.5n=+6

We divide both sides of the equation by 5.5 to get n. 
n=1.0909090909091