Question

x+6/x = x+5/x+2
Solve the following equations
I am not able to solve I will give 15 points

Answer 1

Answer:

$\frac{x + 6}{x} = \frac{x + 5}{x + 2} \\ \\ = > (x + 6)(x + 2) = x(x + 5) \\ \\ = > {x}^{2} + 2x + 6x + 12 = {x}^{2} + 5x \\ \\ = > {x}^{2} + 8x + 12 = {x}^{2} + 5x \\ \\ = > {x}^{2} - {x}^{2} + 8x - 5x + 12 = 0 \\ \\ = > 3x + 12 = 0 \\ \\ ( + {x}^{2} \: and \: - {x}^{2} \: cancelled) \\ \\ = > 3x = - 12 \\ \\ = > x = \frac{ - 12}{3} \\ \\ = > x = - 4$

hope it helps uH :)