Solve (question no. 2-22) for x :

$\dfrac{3x + 2}{x - 6} = -7$

$\dfrac{3x + 2}{x - 6} = -7$

On cross multiplying, we get :

⇒ (3x + 2) = - 7 $\times$ (x - 6)

⇒ 3x + 2 = - 7x + 7 $\times$ 6

⇒ 3x + 2 = - 7x + 42

⇒ 3x + 7x = 42 - 2

⇒ 10x = 40

⇒ x = $\dfrac{40}{10}$

⇒ x = 4

Hence, the value of x is 4.