2(5n+3)=8n+2(n+3)+2n

Solution for 2(5n+3)=8n+2(n+3)+2n equation:

2(5n+3)=8n+2(n+3)+2n

We simplify the equation to the form, which is simple to understand 
2(5n+3)=8n+2(n+3)+2n

Reorder the terms in parentheses
+(+10n+6)=8n+2*(n+3)+2n

Remove unnecessary parentheses
+10n+6=+8n+2+*(+n+3+)+2n

Reorder the terms in parentheses
+10n+6=8n+(+2n+6)+2n

Remove unnecessary parentheses
+10n+6=+8n+2n+6+2n

We move all terms containing n to the left and all other terms to the right. 
+10n-8n-2n-2n=+6-6

We simplify left and right side of the equation. 
-2n=0

We divide both sides of the equation by -2 to get n. 
n=-0