Question

For what value of x do the expressions 2/3x + 2 and 4/3x -6 have the same value

Answer 1

The value of x = - $\dfrac{10}{3}$

Step-by-step explanation:

The given expressiona are:

$\dfrac{2}{3x+2}$ and $\dfrac{4}{3x-6}$

To find, the value of x = ?

∴  $\dfrac{2}{3x+2}=\dfrac{4}{3x-6}$

By crossmultiplication, we get

4(3x + 2) = 2(3x - 6)

⇒ 12x + 8 = 6x - 12

⇒ 12x - 6x =  - 12 - 8

⇒ 6x = - 20

⇒ 3x = - 10

⇒ x = - $\dfrac{10}{3}$

∴ The value of x = - $\dfrac{10}{3}$

Thus, the value of x is equal to - $\dfrac{10}{3}$.