Question

3x/x+6-(x/x+5)=2
Pls solve and give I have exam on Monday for that I need the ans

Answer 1

$\huge\purple{Required \: Answer :}$

Given :

$\frac{3x}{x + 6} - \frac{x}{x + 5} = 2$

Solution :

$\frac{3x(x + 5) - x(x + 6)}{(x + 6)(x + 5)} = 2 \\ \frac{3 {x}^{2} + 15x - {x}^{2} - 6x }{x(x + 5) + 6(x + 5)} = 2 \\ \frac{3 {x}^{2} - {x}^{2} + 15x - 6x }{ {x}^{2} + 5x + 6x + 30} = 2 \\ \frac{2 {x}^{2} + 9x}{ {x}^{2} + 11x + 30 } = 2 \\ 2 {x}^{2} + 9x = 2( {x }^{2} + 11x + 30) \\ 2 {x}^{2} + 9x = 2 {x}^{2} + 22x + 60 \\ 2 {x}^{2} - 2 {x}^{2} = 22x - 9x + 60 \\ 0 = 13x + 60 \\ 13x = - 60 \\ x = \frac{ - 60}{13} \\ x = - 4.6$

Answer 2

Answer:

x=-4.6 is the answer of the question