$\mid 4X-7\mid = 5$ ,since it is in absolute form the regular form of this equation is given as
$(4X-7)= 5$
$(4X-7)=-5$
By solving the above equations we get the following answer
$X=\frac{1}{2}, X = 3$
Now $2\mid X\mid -\mid -X\mid = 2\mid X \mid - \mid X| = \mid X \mid$.
So, our answer will be $B.$