2(m+3)-4(2m+1)=m-3(2+m)

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

2(m+3)-4 (2m+1)=m-3 (2+m)

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

Reorder the terms in parentheses
+(+2m+6)-4*(2m+1)=m-3*(2+m)

Remove unnecessary parentheses
+2m+6-4+*(+2m+1+)=+m-3+*(+2+m+)

Reorder the terms in parentheses
+2m+6+(-8m-4)=m-3*(2+m)

Remove unnecessary parentheses
+2m+6-8m-4=+m-3+*(+2+m+)

Reorder the terms in parentheses
+2m+6-8m-4=m+(-6-3m)

Remove unnecessary parentheses
+2m+6-8m-4=+m-6-3m

We move all terms containing m to the left and all other terms to the right. 
+2m-8m-1m+3m=-6-6+4

We simplify left and right side of the equation. 
-4m=-8

We divide both sides of the equation by -4 to get m. 
m=2