Question

(2x-3)/(3x+2)=(-2/3)

Answer 1

Answer:

$\longrightarrow$ $\dfrac{2x - 3}{3x + 2} = \bigg(\dfrac{- 2}{3}\bigg)$

$\Rightarrow$ $- 2(3x + 2) = 3(2x - 3)$

$\Rightarrow$ $- 6x - 4 = 6x - 9$

$\Rightarrow$ $- 6x - 6x = - 9 + 4$

$\Rightarrow$ $- 12x = - 5$

$\Rightarrow$ $x = \dfrac{- 5}{- 12}$

$\Rightarrow$ $x = \dfrac{5}{12}$

$\therefore$ $The\: answer\: of\: this\: question\: is \: \dfrac{5}{12}$

Answer 2

Step-by-step explanation:

Answer:

\longrightarrow⟶ \dfrac{2x - 3}{3x + 2} = \bigg(\dfrac{- 2}{3}\bigg)

3x+2

2x−3

=(

3

−2

)

\Rightarrow⇒ - 2(3x + 2) = 3(2x - 3)−2(3x+2)=3(2x−3)

\Rightarrow⇒ - 6x - 4 = 6x - 9−6x−4=6x−9

\Rightarrow⇒ - 6x - 6x = - 9 + 4−6x−6x=−9+4

\Rightarrow⇒ - 12x = - 5−12x=−5

\Rightarrow⇒ x = \dfrac{- 5}{- 12}x=

−12

−5

\Rightarrow⇒ x = \dfrac{5}{12}x=

12

5

\therefore∴ The\: answer\: of\: this\: question\: is \: \dfrac{5}{12}Theanswerofthisquestionis

12

5