Consider given the inequality,
5x+23x−1−5x−23x+7<0
(5x+2)(3x+7)−(5x−2)(3x−1)(3x−1)(3x+7)<0
(5x+2)(3x+7)−(5x−2)(3x−1)<0
(15x2+41x+14)−(15x2−11x+2)<0
52x+12<0
x<−313