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Solving Equations with Variables on Both Sides

Evaluate: x ...

Question

Evaluate:
$\frac{x - 4}{3} - \frac{2 x + 1}{6} = \frac{5 x + 1}{2}$

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Solution

$\frac{x - 4}{3} - \frac{2 x + 1}{6} = \frac{5 x + 1}{2}$
$\frac{2 (x - 4) - (2 x + 1)}{6} = \frac{5 x + 1}{2}$
$\frac{- 9}{6} = \frac{- 3}{2} = \frac{5 x + 1}{2}$
$x = \frac{- 4}{5}$

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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