Question

(2х+1)/3+2=(3х-2)/2+(х+1)/3

Answer 1

$\frac{2x + 1}{3} + 2 = \frac{3x - 2}{2} + \frac{x + 1}{3}$

Домножим обе части на 6

$2(2x + 1) + 6 \times 2 = 3(3x - 2) + 2(x + 1) \\ \\ 4x + 2 + 12 = 9x - 6 + 2x + 2 \\ \\ 4x + 14 = 11x - 4 \\ \\ 11x - 4x = 14 + 4 \\ \\ 7x = 18 \\ \\ x = \frac{18}{7} = 2 \frac{4}{7}$