2(1/2q+1)=-3(2q-1)+4(2q+1)

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

2(1/2q+1)=-3(2q-1)+4(2q+1)

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

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

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

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

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

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

Remove unnecessary parentheses
+/2q+2=-6q+3+8q+4

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

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

0=5

The left and right sides are not equal, therefore there is no solution. This equation is invalid.