Question

3(x-4)/5=x-3/2 ???
Alguém pode me ajudar??

Answer 1

Olá,

3(x-4)/5 = x-3/2
(3x-12)/5 = x-3/2
(3x-12) = 5·(x-3/2)
(3x-12) = 5x-15/2
3x-5x = -15/2+12
-2x = (-15+24)/2
-2x = 9/2
x = (9/2)/-2
x = (9/2)/(-2/1)
x = 9/2 · 1/-2
x = 9/-4

Resposta:

-9/4

Answer 2

$Se~~for~~dessa~~forma,~~x=9 ; \\\\\\ \dfrac{3(x-4)}{5} = \dfrac{x-3}{2} \to\\\\ \dfrac{3x-12}{5} = \dfrac{x-3}{2} \to~~~~ mmc=10 \\\\ 6x-24=5x-15\\\\ 6x-5x=-15+24\to\\\\ \large\boxed{x=9}$




$Se~~for~~dessa~~forma,~~x=- \dfrac{9}{4} ; \\\\\\ \dfrac{3(x-4)}{5} =x- \dfrac{3}{2} \to\\\\ \dfrac{3x-12}{5} =x- \dfrac{3}{2} \to~~~mmc=10\\\\ 6x-24=10x-15\to\\\\ 6x-10x=-15+24\to\\\\ -4x=9~.(-1)\to\\\\4x=-9\to\\\\ \large\boxed{x=- \dfrac{9}{4} }$