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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equation:
$15 (x - 1) + 4 (x + 3) = 2 (7 + x)$

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Solution

Given, $15 (x - 1) + 4 (x + 3) = 2 (7 + x)$

$⟹$ $15 x - 15 + 4 x + 12 = 14 + 2 x$ ...[By Distribution Law]

$⟹$ $19 x - 3 = 14 + 2 x$ ...[On simplifying]
$⟹$ $19 x - 2 x = 14 + 3$ ...[Transposing $x$ terms to one side]

$⟹$ $17 x = 17$

$⟹$ $x = 1$ .

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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