The value of x that satisfies $| x - 1 | = | x + 3 |$ is

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-1

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-2

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Solution

The correct option is B
-1

Given $| x - 1 | = | x + 3 |$ Squaring both sides

$(x - 1)^{2} = (x + 3)^{2})$

$x^{2} - 2 x + 1 = x^{2} + 6 x + 9$

$\Rightarrow - 2 x - 6 x = 9 - 1$

$\Rightarrow - 8 x = 8$

$\Rightarrow x = - 1$

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\frac{x - 1}{3} = \frac{2 x - 6}{4}

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