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Algebra Difficulty: Easy

$7 (2 x - 3) = 63$

Which equation has the same solution as the given equation?

$2 x - 3 = 9$

$2 x - 3 = 56$

$2 x - 21 = 63$

$2 x - 21 = 70$

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Explanation

Choice A is correct. Dividing each side of the given equation by $7$ yields $\frac{7 (2 x - 3)}{7} = \frac{63}{7}$ , or $2 x - 3 = 9$ . Therefore, the equation $2 x - 3 = 9$ is equivalent to the given equation and has the same solution.

Choice B is incorrect. This equation is equivalent to $7 (2 x - 3) = 392$ , not $7 (2 x - 3) = 63$ .

Choice C is incorrect. Distributing $7$ on the left-hand side of the given equation yields $14 x - 21 = 63$ , not $2 x - 21 = 63$ .

Choice D is incorrect. Distributing $7$ on the left-hand side of the given equation yields $14 x - 21 = 63$ , not $2 x - 21 = 70$ .