Question

If `4/(x+1)+5(x+3)=9/(x+2)`, what is the value of `x`?

Answer 1

`color(green)(x=7)`

Explanation:

`4/(x+1)+5(x+3)=9/(x+2)`

`rarr 4(x+3)(x+2) + 5(x=1)(x+2)=9(x+1)(x+3)`

`rarr cancel(4x^2)+20x+24+cancel(5x^2)+15x+10=cancel(9x^2)+36x+27`

`rarr 35x+34=36x+27`

`rarr 7 = x`