`{x-18}/{x+4} = {x-17}/{x+16}` . ĐKXĐ `x \ne -4 ; x \ne -16`
`-> (x+4)(x-17) = (x-18)(x+16)`
`-> x(x+4) - 17(x+4) = x(x-18) + 16(x-18)`
`-> x^2 + 4x - 17x - 68 = x^2 - 18x + 16x -288`
`-> x^2 - 13x - 68 = x^2 - 2x - 288`
`-> x^2 - 13x - 68 - x^2 +2x + 288 =0`
`-> -11x + 220 =0`
`-> -11x = -220`
`-> x = 220/11 = 20`
Vậy `x =20`