Question

Este es un problema.........

Answer 1

2/5((3x - 1)/3) = 2/3 ((1-4x)/2)
6x - 2/15 = 1-4x/3
3(6x - 2) = 15 (1-4x)
18x - 6 = 15 - 60x
18x + 60x = 15 + 6
78x = 21
x= 21/78
simplificando
x= 7 / 26

Answer 2

$\frac{2}{5} (x - \frac{1}{3} ) = \frac{2}{3} ( \frac{1}{2} - 2x)$
primero multiolicamos y luego aplicamos MCM

$\frac{2}{5} (x - \frac{1}{3} ) = \frac{2}{3} ( \frac{1}{2} - 2x) \\ \frac{2x}{5} - \frac{2}{15} = \frac{2}{6} - \frac{4x}{3}$
el MCM de 5,15,6 y 3 es 30

$\frac{2x}{5} - \frac{2}{15} = \frac{2}{6} - \frac{4x}{3} \\ 12x - 4 = 10 - 40x \\ 12x + 40x = 10 + 4 \\ 52x = 14 \\ x = \frac{14}{52} = \frac{7}{26}$