Solve the following equation: 2/3 ( 5x + 6/7) = 9/7

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Solution

Dear student
$\frac{2}{3} (5 x + \frac{6}{7}) = \frac{9}{7} \Rightarrow 5 x + \frac{6}{7} = \frac{9}{7} \times \frac{3}{2} \Rightarrow 5 x + \frac{6}{7} = \frac{27}{14} \Rightarrow 5 x = \frac{27}{14} - \frac{6}{7} \Rightarrow 5 x = \frac{27 - 12}{14} \Rightarrow 5 x = \frac{15}{14} \Rightarrow x = \frac{15}{14} \times \frac{1}{5} \Rightarrow x = \frac{3}{14}$
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