Question

2x/3+1/2=×/4-3/2 me ajudem

Answer 1

Resposta:

$x = \frac{-24}{5}$

Explicação passo-a-passo:

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

mmc(3,2,4,2)

2, 2, 3, 4     : 2

1, 1, 3, 2     : 2

1, 1, 3, 1     : 3

1, 1, 1, 1

$mmc_{(3,2,4,2)} = 2 . 2 . 3\\\\mmc_{(3,2,4,2)} = 4 . 3\\\\mmc_{(3,2,4,2)} = 12$

$\frac{4(2x) + 6.1 = 3x - 6.3}{12} \\\\\frac{8x + 6 = 3x - 18}{12} \\\\8x + 6 = 3x - 18\\\\8x - 3x = -18 - 6\\\\5x = -24\\\\x = \frac{-24}{5}$