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Geometry help please. So I understand that the sum of AB • AP should equal CD • CP but how would I go about finding the value of X? I could put random numbers in the equation until the sums were equal but I figure there's a simpler way of doing this.

Geometry help please. So I understand that the sum of AB • AP should equal CD • CP-example-1

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CP * DP = AP * BP

(8 + x + 2)(x + 2) = (5 + x + 3)(x + 3)
(x + 10)(x + 2) = (x + 8)(x + 3)
x² + 2x + 10x + 20 = x² + 3x + 8x + 24
x² + 12x + 20 = x² + 11x + 24
12x - 11x = 24 - 20
x = 4

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