[tex] \frac{7}{x-5} - \frac{3}{4x-20} = -3 \\ \\ \frac{7}{x-5} - \frac{3}{4(x - 5)} = -3 \\ \\ \frac{25}{4(x - 5)} = -3 \\ \\ 25 = -3 \times 4 (x - 5) \\ \\ 25 = -12 (x - 5) \\ \\ - \frac{25}{12} + 5 = x \\ \\ \frac{35}{12} = x \\ \\ x = \frac{35}{12} \\ \\ [/tex]
The final result is: x = 35/12 or x = 2.9167.
