Question

Please answer the question below

Answer 1

Answer:

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

take a lcm

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

answer is x=4