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Solve the equation:
$\frac{a}{ax-1}$+$\frac{b}{bx-1}$=$a+b$

It is my problem.I simply evaluate the equation and I found $ab(a+b)x^2-[(a+b)^2+2ab]x+2(a+b)=0$.I use Sridhar Achharya's theorem but it became complicate . Somebody please help me to solve the equation.

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$ab(a+b)x^2-[(a+b)^2+2ab]x+2(a+b)=0$

$(abx-a-b)(ax+bx-2)=0$

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