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Reducing Equations to Simpler Form

Solve the fol...

Question

Solve the following equation: If $8 x + 4 = 3 (x - 1) + 7$ , then $x =$

A

x = 0

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B

x = 1

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C

x = 2

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D

Cannot be determined

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Solution

The correct option is A $x = 0$
Given, $8 x + 4 = 3 (x - 1) + 7$
$8 x + 4 = 3 x - 3 + 7$
$8 x + 4 = 3 x + 4$
As $4$ is common on both the sides, we can cancel them.
$∴ 5 x = 0$
$∴ x = 0$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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