Solve the equation and verify your answer: `((2x+3)-\ (5x-7))/(6x+11)=\ -8/3`

Explanation

`((2x+3)-(5x-7))/(6x+11)=-8/3`
`3((2x+3) – (5x-7)) = -8(6x+11) `
`3(2x + 3 – 5x + 7) = -48x – 88 `
`3(-3x + 10) = -48x – 88`
` -9x + 30 = -48x – 88`
` -9x + 48x = -88 – 30 `
`39x = -118`
` x = -118/39`
According to question
`((2x+3)-(5x-7))/(6x+11)=-8/3`
`((2(-118/39) + 3) – (5(-118/39) – 7)) / (6(-118/39) + 11) = -8/3 `
`((-336/39 + 3) – (-590/39 – 7)) / (-708/39 + 11) = -8/3`
`(((-336+117)/39) – ((-590-273)/39)) / ((-708+429)/39) = -8/3`
`(-219+863)/39 / (-279)/39 = -8/3`
` 644/-279 = -8/3 `
`-8/3 = -8/3`