Solve for x.
\large \frac{-14}{x}=\frac{-22}{x+4}
To solve for $x$, we can cross multiply:
$$-14(x+4) = -22x$$
$$-14x - 56 = -22x$$
Now, let's isolate $x$ on one side of the equation:
$$-56 = -22x + 14x$$
$$-56 = -8x$$
$$x = \frac{56}{8}$$
$$x = 7$$
Therefore, the solution to the equation is $x = 7$.