2(2q+1)=3(q-1)

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

2(2q+1)=3(q-1)

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

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

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

Reorder the terms in parentheses
+4q+2=+(+3q-3)

Remove unnecessary parentheses
+4q+2=+3q-3

We move all terms containing q to the left and all other terms to the right. 
+4q-3q=-3-2

We simplify left and right side of the equation. 
+1q=-5

We divide both sides of the equation by 1 to get q. 
q=-5