Answer is $A = (-2, 8)$.
Work Step by Step
Let's take a look at the figure. We know that the figure is a parallelogram. The $y$ coordinate does not change, since it is parallel to the x-axis. In order to compute the $x$ value, we subtract the value of the starting point, which is $5$, by the value of the length of the segment. The length of the segment is $7$, which we can read from the x-axis. So we compute $ x = 5 - 7 = - 2$. This is the $x$ value of $A$ and $ A = (-2,8)$.