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Solving Equations with Variables on Both Sides

Question

Solve for $x$ : $\frac{x}{2} = \frac{x}{3} + 1$ .
$9$
$4$
$8$
$6$

A

8

B

4

C

6

D

9

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Solution

Verified by Toppr

Given, $\frac{x}{2} = \frac{x}{3} + 1$ .

Transposing $x$ terms to one side, we get,
$\Rightarrow \frac{x}{2} - \frac{x}{3} = 1$

$\Rightarrow \frac{3 x - 2 x}{6} = 1$

$∴ x = 6$ .

Hence, option $C$ is correct.

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