Step-by-step explanation:
The given expressiona are:
[tex]\dfrac{2}{3x+2}[/tex] and [tex]\dfrac{4}{3x-6}[/tex]
To find, the value of x = ?
∴ [tex]\dfrac{2}{3x+2}=\dfrac{4}{3x-6}[/tex]
By crossmultiplication, we get
4(3x + 2) = 2(3x - 6)
⇒ 12x + 8 = 6x - 12
⇒ 12x - 6x = - 12 - 8
⇒ 6x = - 20
⇒ 3x = - 10
⇒ x = - [tex]\dfrac{10}{3}[/tex]
∴ The value of x = - [tex]\dfrac{10}{3}[/tex]
Thus, the value of x is equal to - [tex]\dfrac{10}{3}[/tex].
