$\Large \dfrac{\color{#D61F06}{2a}x}{\color{#20A900}{ab+a+1}}+\dfrac{\color{#3D99F6}{2b}x}{\color{#EC7300}{bc+b+1}}+\dfrac{\color{#69047E}{2c}x}{\color{#624F41}{ca+c+1}}=\color{#0C6AC7}{1}$

If there are distinct positive numbers $a,b,c$ such that $abc=1$ and they satisfy the above equation , Find the value of $x$.