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Solving Linear Equations Using Transpose of Terms

Solve: 7x-32...

Question

Solve:
$\frac{7 x - 3}{2 x + 3} = \frac{5}{4}$

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Solution

$\frac{7 x - 3}{2 x + 3} = \frac{5}{4}$
$\Rightarrow 28 x - 12 = 10 x + 15$
$\Rightarrow 18 x = 27$
$x = \frac{3}{2}$

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