3x/5x+2= 4 By cross multiplication, 3x×1= 4×(5x+2) ⇒ 3x= 20x 8 ⇒ 3x+20x= 8⇒ 23x= 8 ⇒ x= 8/23 Hence x= 8/23 Ans. ...

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Solving Equations with Variables on Both Sides

Solve : 3x/5x...

Question

Solve :

$\frac{3 x}{5 x + 2} = - 4$

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Solution

$\frac{3 x}{5 x + 2} = - 4$

By cross multiplication,

$3 x \times 1 = - 4 \times (5 x + 2) \Rightarrow 3 x = - 20 x - 8 \Rightarrow 3 x + 20 x = - 8 \Rightarrow 23 x = - 8 \Rightarrow x = \frac{- 8}{23} Hence x = \frac{- 8}{23} A n s .$

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