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Question

$$\frac{x-5}{3}=\frac{x-3}{5}$$


Solution

$$\cfrac{x - 5}{3} = \cfrac{x - 3}{5}$$
$$5 \left( x - 5 \right) = 3 \left( x - 3 \right)$$
$$5x - 25 = 3x - 9$$
$$5x - 3x = 25 - 9$$
$$\Rightarrow 2x = 16$$
$$\Rightarrow x = \cfrac{16}{2} = 8$$
Hence the correct answer is $$8$$.

Mathematics

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