2(2n-3)=6(n+2)

Solution for 2(2n-3)=6(n+2) equation:

2 (2n-3)=6 (n+2)

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

Reorder the terms in parentheses
+(+4n-6)=6*(n+2)

Remove unnecessary parentheses
+4n-6=+6+*(+n+2+)

Reorder the terms in parentheses
+4n-6=+(+6n+12)

Remove unnecessary parentheses
+4n-6=+6n+12

We move all terms containing n to the left and all other terms to the right. 
+4n-6n=+12+6

We simplify left and right side of the equation. 
-2n=+18

We divide both sides of the equation by -2 to get n. 
n=-9