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Addition and Subtraction of Algebraic Expression

Solve: 115-4...

Question

Solve: $11 (5 - 4 x) = 7 (5 - 6 x)$

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Solution

given, $11 (5 - 4 x) = 7 (5 - 6 x)$

$\Rightarrow 55 - 44 x = 35 - 42 x$

$\Rightarrow 55 - 35 = - 42 x + 44 x$

$\Rightarrow 20 = 2 x$

$\Rightarrow \frac{20}{2} = \frac{2 x}{2}$

$∴ x = 10$

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