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Solving Linear Equations Using Transpose of Terms

Solve 2x-1 ...

Question

Solve $\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}$

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Solution

$\frac{5 (2 x - 1) - 3 (6 x - 2)}{15} = \frac{1}{3}$
$\Rightarrow \frac{10 x - 5 - 18 x + 6}{15} = \frac{1}{3}$
$\Rightarrow - 8 x + 1 = 5$
$\Rightarrow 8 x = - 4$
$\Rightarrow x = - \frac{1}{2}$

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