Solve the equation

x+1x−1=−10x+3+8x2+2x−3\displaystyle {\frac{{{x}+{1}}}{{{x}-{1}}}}={\frac{{-{10}}}{{{x}+{3}}}}+{\frac{{{8}}}{{{x}^{{2}}+{2}{x}-{3}}}}

Solve for x. Solve for x. List your solutions, separated by commas (if there are multiple solutions). If there is no solution, enter DNE.

x=\displaystyle {x}=  

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