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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equations by transposing the terms
$3 (x - 3) = 5 (2 x + 1)$

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Solution

$3 (x - 3) = 5 (2 x + 1)$
$⟹ 3 x - 9 = 10 x + 5$
$⟹ - 9 - 5 = 10 x - 3 x$
$⟹ - 14 = 7 x$
$⟹ x = - 2$

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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