Question

1/6 -x/2 = -2x/3 + 1/4

Answer 1

Explicação passo-a-passo:

$\frac{1}{6} - \frac{x}{2} = - \frac{2x}{3} + \frac{1}{4}$

$mmc(6 \: . \: 2 \: . \: 3 \: . \: 4)$

6,2,3,4 I 2

3,1,3,2 I 2

3,1,3,1 I 3

1,1,1,1 / 2.2.3 = 12

$\frac{1}{12} - \frac{x}{12} = - \frac{2x}{12} + \frac{1}{12}$

$\frac{2}{12} - \frac{6x}{12} = - \frac{8x}{12} + \frac{3}{12}$

$2 - 6x = - 8x + 3$

$+ 8x - 6x = + 3 - 2$

$2x = 1$

$x = \frac{1}{2}$

ou

$x = 0.5$