Solve for b
b=2cx-9x+2d
d\neq -cx
Solve for c
\left\{\begin{matrix}c=-\frac{-9x+2d-b}{2x}\text{, }&x\neq -\frac{b}{9}\text{ and }x\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }b=2d\text{ and }d\neq 0\end{matrix}\right.
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9x+b=2\left(cx+d\right)
Multiply both sides of the equation by cx+d.
9x+b=2cx+2d
Use the distributive property to multiply 2 by cx+d.
b=2cx+2d-9x
Subtract 9x from both sides.
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