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Reducing Equations to Simpler Form

Solve for x...

Question

Solve for $x$ :
$\frac{7}{3 x + 4} = \frac{7}{6 x - 2}$

A

- 2

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B

- 1

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C

0

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D

2

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Solution

The correct option is D $2$
Given,
$\frac{7}{3 x + 4} = \frac{7}{6 x - 2}$
$\Rightarrow 42 x - 14 = 21 x + 28$
$\Rightarrow 42 x - 21 x = 28 + 14$
$\Rightarrow 21 x = 42$
$\Rightarrow x = 2$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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