Question

3x/x+6 - x/x+5 = 2 linear equation

Answer 1

Given, 3x/x+6 - x/x+5 = 2

            3x(x+5) - x(x+6)/(x+6)(x+5) = 2

            3x^2 + 15x - x^2 - 6x/x^2 + 5x + 6x + 11 = 2

            2x^2 + 9x = 2x^2 + 22x + 60 
 
            2x^2 + 9x - 2x^2 - 22x - 60

            9x - 22x = 60

           -13x = 60

               x = -60/13. 

Answer 2

3x/(x+6) - x(x+5) =2
take LCM OF x+6 and x+5
x^2+11x+30
now
3x(x+5) - x(x+6) = 2( x^2+11x+30)
3x^2+15x-x^2 -6x = 2x^2 +22x +60
0=13x+60
13x=-60
x=-60/13