Question

Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`

Answer 1

`("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`

`=> ("9x" + 7)/2 - ((7 xx x - 1("x" - 2))/7) = 36`

`=> ("9x" + 7)/2 - ((7"x" - "x" - 2)/7) = 36`

`=> ("9x" + 7)/2 - (("6x" - 2)/7) = 36`

`=> (7(9"x" + 7) + 2(-6"x" + 2))/14 = 36`

`=> (63"x" + 49 - "12x" + 4)/14 = 36`

`=> ("51x" + 53)/14 = 36`

⇒ 51x + 53 = 14 × 36

⇒ 51x = 504 - 53

⇒ 51x = 459

⇒ x = `459/51`

∴ x = 9