If $\frac{x - 1}{3} = \frac{2 x - 6}{4}$ , what is the value of $x$ that satisfies the equation?

5

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7

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8

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16

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Solution

The correct option is B $7$
Given, $\frac{(x - 1)}{3} = \frac{(2 x - 6)}{4}$ .

By cross multiplying the denominators, we get,
$4 (x - 1) = 3 (2 x - 6)$
$\Rightarrow 4 x - 4 = 6 x - 18$ ...[By Distribution Law].

Transposing $x$ terms to one side, we get,
$\Rightarrow 6 x - 4 x = 18 - 4$
$\Rightarrow 2 x = 14$
$\Rightarrow \frac{2 x}{2} = \frac{14}{2}$ ...[Dividing $5$ on both sides]
$\Rightarrow x = 7$ .

Hence, option $B$ is correct.

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