I want to solve this equation
$$\sqrt{x+3} + \sqrt{2x+4} = 12-\sqrt{3x+7}$$
I tried the given equation equivalent to $$ \sqrt{(x+3)(2x+4)} = 72-12\sqrt{3x+7}$$
I see that, that equation has unique solution $x = 6$ but I can not solve. How can I solve this equation or solve the given equation with another way?