Question

(urgentee)
Calcule o valor de X na equação abaixo:


alternativas:
a)S={2,5}
b)S={3; -1}
c)S={2}
d)S={-2}
e)S={0;2}

Answer 1

$\dfrac{4x+2}{3}-\dfrac{5x-7}{6}=\dfrac{3-x}{2}$

Multiplicando ambos os lados da equação por 6, teremos:

$6\bigg(\dfrac{4x+2}{3}\bigg)-6\bigg(\dfrac{5x-7}{6}\bigg)=6\bigg(\dfrac{3-x}{2}\bigg)$

$2(4x+2)-(5x-7)=3(3-x)$

$8x+4-5x+7=9-3x$

$6x=-2\ \therefore\ \boxed{x=-\dfrac{1}{3}}$