Solve for x:
-2 (x -4) - 1/2 (3-4x) = -12

Step-by-step explanation:

-2 (x -4) - 1/2 (3-4x) = -12

                ×(-2)           ×(-2)

4(x - 4) + (3 - 4x) = 24

4x - 16 + 3 - 4x = 24

     -13 = 24            <-- it's not true so it's no solution

As given in the problem that given quadrilateral RSTU is a parallelogram .

And it is a property of a parallelogram , that the diagonals bisects each other .

It means point V is the mid-point of US .

And it implies UV=VS

So we get,

x-3 = 3x-13

Now we have to solve for x

subtract 3x from both sides

x-3x -3 =3x-3x -13

-2x -3 = -13

add 3 to both sides

-2x -3+3 = -13 +3

-2x = -10

Divide both sides by -2

x=5