For what integral value of x is \frac{12}{7 - \frac{6}{7 - \frac{3}{5-x}}} = x ?

Explanation

Substitute x=2 from the options into the equation: 5-2=3. Then \frac{3}{3}=1. Next step, 7-1=6. Then \frac{6}{6}=1. Finally, 7-1=6 and \frac{12}{6}=2. This perfectly equals x, so 2 is the correct integral value.

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