Find radius x, the answer is not 2, image is in the link below.

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Help me to find radius $x$, the answer is not 2.

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By using Pythagoras twice we obtain the following equation. $$\sqrt{(12+x)^2-x^2}=12+\sqrt{(4-x)^2-x^2}.$$ I got $$x=\frac{3\sqrt{21}-7}{4}.$$

Here is illustration of how we get equation

enter image description here