[tex]~~~~~~\dfrac 6{x+1} = \dfrac 5{x-3}\\\\\\\implies 6(x-3) = 5(x+1)~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Cross - Multiply}] \\\\\\\implies 6x - 18 = 5x +5\\\\\\\implies 6x -5x = 5+ 18\\\\\\\implies x = 23[/tex]
