Use cross multiplication to solve the following proportion: \[ \frac{-10 x-4}{6}=\frac{-2 x-8}{5} \] Enter your answer as a reduced fraction if necessary.

To solve the proportion using cross multiplication, we start with the equation: \[ \frac{-10x - 4}{6} = \frac{-2x - 8}{5} \] Cross multiplying gives us: \[ (-10x - 4) \cdot 5 = (-2x - 8) \cdot 6 \] Now, distributing on both sides: \[ -50x - 20 = -12x - 48 \] Next, we can rearrange the equation by adding \(50x\) and \(12x\) to both sides: \[ -20 + 48 = 50x - 12x \] This simplifies to: \[ 28 = 38x \] Now, to isolate \(x\), divide both sides by 38: \[ x = \frac{28}{38} \] To reduce this fraction, we can divide the numerator and the denominator by their greatest common factor, which is 2: \[ x = \frac{14}{19} \] Thus, the solution for \(x\) is: \[ \boxed{\frac{14}{19}} \]