2(m-3)+6=-3(m+1)

Solution for 2(m-3)+6=-3(m+1) equation:

2(m-3)+6=-3(m+1)

We simplify the equation to the form, which is simple to understand 
2(m-3)+6=-3(m+1)

Reorder the terms in parentheses
+(+2m-6)+6=-3*(m+1)

Remove unnecessary parentheses
+2m-6+6=-3+*(+m+1+)

Reorder the terms in parentheses
+2m-6+6=+(-3m-3)

Remove unnecessary parentheses
+2m-6+6=-3m-3

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

We simplify left and right side of the equation. 
+5m=-3

We divide both sides of the equation by 5 to get m. 
m=-0.6