2(.50q+1)=3(2q-1)+4(2q+1)

Solution for 2(.50q+1)=3(2q-1)+4(2q+1) equation:

2(.50q+1)=3(2q-1)+4(2q+1)

We simplify the equation to the form, which is simple to understand 
2(.50q+1)=3(2q-1)+4(2q+1)

Reorder the terms in parentheses
2(.50q+1)=+(+6q-3)+4*(2q+1)

Remove unnecessary parentheses
+2+(.50q+1+)=+6q-3+4+*(+2q+1+)

Reorder the terms in parentheses
2(.50q+1)=+6q-3+(+8q+4)

Remove unnecessary parentheses
+2+(.50q+1+)=+6q-3+8q+4

We move all terms containing q to the left and all other terms to the right. 
q-6q-8q=-3+4-2-1-0

We simplify left and right side of the equation. 
-14q=-2

We divide both sides of the equation by -14 to get q. 
q=0.14285714285714