Solve the equation (8x+3)/(2x-4) = 4x/(x-5).

Question

Solve the equation \(\frac{8x+3}{2x-4} = \frac{4x}{x-5}\).

Answer 1

⇒ \(\frac{8x+3}{2x-4} = \frac{4x}{x-5}\)

⇒ (8x + 3) (x – 5) = 4x (2x – x)

⇒ 8x² – 40x + 3x – 15 = 8x² – 16x

⇒ – 40x + 3x + 16x = 15

⇒ – 21x = 15

⇒ x = - 15/21

⇒ x = - 5/7