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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equations.
$2 (x - 3) = \frac{3}{5} (x + 4)$

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Solution

$2 (x - 3) = \frac{3}{5} (x + 4)$
$\Rightarrow 5 (2 x - 6) = 3 (x + 4)$
$\Rightarrow 10 x - 30 = 3 x + 12$
$\Rightarrow 10 x - 3 x = 12 + 30$
$\Rightarrow x = \frac{42}{7} = 6$

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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