7-6m-1=2(5+m)-7(1+m)

Solution for 7-6m-1=2(5+m)-7(1+m) equation:

7-6m-1=2(5+m)-7(1+m)

We simplify the equation to the form, which is simple to understand 
7-6m-1=2(5+m)-7(1+m)

Reorder the terms in parentheses
7-6m-1=+(+10+2m)-7*(1+m)

Remove unnecessary parentheses
+7-6m-1=+10+2m-7+*(+1+m+)

Reorder the terms in parentheses
7-6m-1=+10+2m+(-7-7m)

Remove unnecessary parentheses
+7-6m-1=+10+2m-7-7m

We move all terms containing m to the left and all other terms to the right. 
-6m-2m+7m=+10-7-7+1

We simplify left and right side of the equation. 
-1m=-3

We divide both sides of the equation by -1 to get m. 
m=3