Question

$solve \: for \: x \\ \frac{3x + 2}{7} + \frac{4(x + 1)}{5} + = \frac{2}{3} (2x + 1)$
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Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

$\frac{3x + 2}{7} + \frac{4(x + 1)}{5} = \frac{2}{3} (2x + 1) \\ ................................................ \\ \frac{3x + 2}{7} + \frac{4x + 4}{5} = \frac{4x + 2}{3} \\ \frac{5(3x + 2) + 7(4x + 4)}{35} = \frac{(4x + 2)}{3} \\ \frac{15x + 10 + 28x + 28}{35} = \frac{(4x + 2)}{3} \\ \frac{43x + 38}{35} = \frac{( {4x + 2)} }{3} \\ 129x + 114 = 140x +70 \\114 - 70 = 140 x - 129x \\ 44 = 11x \\ x = \frac{44}{11}$

$\huge{\mathcal{\blue{\underline{\implies{x=4}}}}}$