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Solving Linear Equations Using Transpose of Terms

Solve the fol...

Question

Solve the following linear equation
$\frac{7}{2} x + \frac{1}{2} x = 3 x + \frac{3}{2} + \frac{5}{2}$

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Solution

$\frac{7}{2} x + \frac{1}{2} x = 3 x + \frac{3}{2} + \frac{5}{2}$
$\Rightarrow \frac{8 x}{2} = 3 x + \frac{8}{2}$
$\Rightarrow 4 x = 3 x + 4$
$\Rightarrow 4 x - 3 x = 4$
$\Rightarrow x = 4$ .

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