3+1(4a+1)=5(a-3)

Solution for 3+1(4a+1)=5(a-3) equation:

3+1(4a+1)=5(a-3)

We simplify the equation to the form, which is simple to understand 
3+1(4a+1)=5(a-3)

Reorder the terms in parentheses
3+(+4a+1)=5*(a-3)

Remove unnecessary parentheses
+3+4a+1=+5+*(+a-3+)

Reorder the terms in parentheses
3+4a+1=+(+5a-15)

Remove unnecessary parentheses
+3+4a+1=+5a-15

We move all terms containing a to the left and all other terms to the right. 
+4a-5a=-15-3-1

We simplify left and right side of the equation. 
-1a=-19

We divide both sides of the equation by -1 to get a. 
a=19