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

xx+7+4x5=3x+63x2+2x35\displaystyle \frac{{x}}{{{x}+{7}}}+\frac{{4}}{{{x}-{5}}}=\frac{{-{3}{x}+{63}}}{{{x}^{{2}}+{2}{x}-{35}}}