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Addition of Rational Expressions

Simplify 2x+...

Question

Simplify
$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$

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Solution

$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$
$\Rightarrow \frac{4 x + 14 - 5 x + 55}{10} = \frac{2 x + 8 - 15}{3}$
$\Rightarrow 3 (- 11 x + 69) = 10 (2 x - 7)$
$\Rightarrow - 33 x + 207 = 20 x - 70$
$\Rightarrow 207 + 70 = (20 + 33) x$
$x = \frac{277}{53}$ .

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\frac{2 x + 7}{5} - \frac{3 x + 11}{2} = \frac{2 x + 8}{3} - 5

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