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Question

Evaluate : $\frac{2}{3} x + \frac{1}{2} (x - 5) = 3$

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Solution

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$\frac{2}{3} x + \frac{1}{2} (x - 5) = 3$
$\Rightarrow {\frac{2}{3}}^{\times 2} x + {\frac{x}{2}}^{\times 3} - \frac{5}{2} = \frac{6}{2}$
$\Rightarrow \frac{7 x}{6} = \frac{11}{2}$
$\Rightarrow x = \frac{6 \times 11}{7 \times 2} = \frac{33}{7}$ .

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