Tweaking radicals

Algebra Level 1

\[ \large \dfrac{\sqrt{2-x} - \sqrt{4-3x}}{\sqrt{2-x} + \sqrt{4-3x}} = \dfrac{\sqrt{6-5x} - \sqrt{8-7x}}{\sqrt{6-5x} + \sqrt{8-7x}} \quad,\quad x = \ ? \]

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