Solve the following equations- 7x - 5 - 5x - 7

7x 5=5x 7 7(x 7)=5(x 5) 7x 49=5x 25 7x 5x=49 25 2x=24 x=242=12 ...

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Representation of Solutions on a Number Line

Solve the fol...

Question

Solve the following equations:
$\frac{7}{x - 5} = \frac{5}{x - 7}$

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Solution

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\frac{8 \sqrt{x - 5}}{3 x - 7} = \frac{\sqrt{3 x - 7}}{x - 5}

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$(x - 5) (x + 3) = (x - 7) (x + 4)$

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5^{2 x} - 7^{x} - 5^{2 x} \cdot 35 + 7^{x} \cdot 35 = 0

\sqrt{x + 5} + \sqrt{2 x + 7} = 2 \sqrt{x}

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