If then write the value of x.

Given:

To find: value of x

We know that,

⇒(x + 1)(x + 2) – (x – 3)(x – 1) = (4)(3) – (1)(-1)

⇒ x² + 2x + x + 2 – [x² – x – 3x + 3] = 12 + 1

⇒ x² + 3x + 2 – x² + 4x – 3 = 13

⇒ 7x – 1 = 13

⇒ 7x = 14

⇒ x = 2

Hence, the value of x is 2