3x5x+ #160;2 #160;= #160; 4 #8658; #160;3x5x+ #160;2 #160;= #160; 41 #8658; #160;1 #160;( #160;3x) #160;= #160; 4( #160;5x #160; ...

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Performing Mathematical Operations on Equation

Solve:3 × 5 x...

Question

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

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Solution

$\frac{3 x}{5 x + 2} = - 4 \Rightarrow \frac{3 x}{5 x + 2} = \frac{- 4}{1} \Rightarrow 1 (3 x) = - 4 (5 x + 2) (by cross multiplication) \Rightarrow 3 x = - 20 x - 8 \Rightarrow 3 x + 20 x = - 8 \Rightarrow 23 x = - 8 \Rightarrow x = \frac{- 8}{23} ∴ x = \frac{- 8}{23}$

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