Solve the equation and verify your answer: `(x+2)/(x+5)=x/(x+6)`

Explanation

`(x+2)/(x+5)=x/(x+6)`
`(x+2)/(x+5) – x/(x+6) = 0`
`((x+2) (x+6) – x(x+5)) / (x+5) (x+6) = 0`
`(x+2) (x+6) – x(x+5) = 0`
`2x + 8x + 12 – 2x – 5x = 0 `
`3x + 12 = 0`
` 3x = -12`
`x = -12/3`
` -4`
According to question
`(x+2)/(x+5) = x/(x+6)`
Putting the value of `x=-4`
`(-4 + 2) / (-4 + 5) = -4 / (-4 + 6) `
`-2/1 = -4 / (2) `
`-2 = -2`