6(m+1)=8(3+m)

Solution for 6(m+1)=8(3+m) equation:

6(m+1)=8(3+m)

We simplify the equation to the form, which is simple to understand 
6(m+1)=8(3+m)

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

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

Reorder the terms in parentheses
+6m+6=+(+24+8m)

Remove unnecessary parentheses
+6m+6=+24+8m

We move all terms containing m to the left and all other terms to the right. 
+6m-8m=+24-6

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

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