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**Solve the following equation:**

(x - 1 )(x + 6) - (x - 2)(x - 3) = 3

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#### Solution

(x - 1 )(x + 6) - (x - 2)(x - 3) = 3

x^{2} - x + 6x - 6 - (x^{2} - 3x - 2x + 6) = 3

⇒ x^{2} + 6x - x - 6 - x^{2} + 3x + 2x - 6 = 3

10x - 12 = 3

10x = 3 + 12

10x= 15

x = `15/10 = 3/2 = 1 1/2`

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