2(-1/2)-3(4*-1/2+5)=-6(-1/2-3)-1

Solution for 2(-1/2)-3(4*-1/2+5)=-6(-1/2-3)-1 equation:

2(-1/2)-3(4*-1/2+5)=-6(-1/2-3)-1

We simplify the equation to the form, which is simple to understand 
2(-1/2)-3(4*-1/2+5)=-6(-1/2-3)-1

Reorder the terms in parentheses
+(-1)-3*(+3)=-6*(-3.5)-1

Remove unnecessary parentheses
-1-3+*(+3+)=-6+*(-3.5+)-1

Reorder the terms in parentheses
-1+(-9)=-6*(-3.5)-1

Remove unnecessary parentheses
-1-9=-6+*(-3.5+)-1

Reorder the terms in parentheses
-1-9=+(+21)-1

Remove unnecessary parentheses
-1-9=+21-1

We move all terms containing  to the left and all other terms to the right. 
0=+21-1+1+9

We simplify left and right side of the equation. 
0=+30

0=30

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