Solve the Fraction Equation: Find X in 7/(x-4) = 5/(8x)

To solve the given equation $\frac{7}{x-4} = \frac{5}{8x}$, we will use cross-multiplication to clear the fractions:

Cross-multiply to obtain: $7 \cdot 8x = 5 \cdot (x - 4)$.

This simplifies to: $56x = 5x - 20$.

Next, we need to isolate $x$ by first subtracting $5x$ from both sides:

$56x - 5x = -20$.

This simplifies further to: $51x = -20$.

Finally, solve for $x$ by dividing both sides by 51:

$x = \frac{-20}{51}$.

Therefore, the solution to the equation is $x = \frac{-20}{51}$.