3(1+2m)-7(4m-6)=1

Solution for 3(1+2m)-7(4m-6)=1 equation:

3(1+2m)-7(4m-6)=1

We simplify the equation to the form, which is simple to understand 
3(1+2m)-7(4m-6)=1

Reorder the terms in parentheses
+(+3+6m)-7*(4m-6)=1

Remove unnecessary parentheses
+3+6m-7+*(+4m-6+)=+1

Reorder the terms in parentheses
+3+6m+(-28m+42)=1

Remove unnecessary parentheses
+3+6m-28m+42=+1

We move all terms containing m to the left and all other terms to the right. 
+6m-28m=+1-3-42

We simplify left and right side of the equation. 
-22m=-44

We divide both sides of the equation by -22 to get m. 
m=2