Question

Solve for x: 2x+1/3 + 1 = x-4/6This is my last question.​

Answer 1

Answer:

Hence, the value of "x" is -4.

Step-by-step explanation:

$\sf \leadsto \dfrac{2x + 1}{3} + 1 = \dfrac{x - 4}{6}$

$\sf \leadsto \dfrac{2x + 1 + 3}{3} = \dfrac{x - 4}{6}$

$\sf \leadsto \dfrac{2x + 4}{3} = \dfrac{x - 4}{6}$

$\sf \leadsto 6(2x + 4) = 3(x - 4)$

$\sf \leadsto 12x + 24 = 3x - 12$

$\sf \leadsto 12x - 3x = -12 - 24$

$\sf \leadsto 9x = -36$

$\sf \leadsto x = \dfrac{-36}{9}$

$\sf \leadsto x = -4$

Hence, solved!!

Answer 2

Answer:

x=-4

Step-by-step explanation:

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

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

$6(2x + 4) = 3(x - 4)$

$2(2x + 4) = x - 4$

$4x + 8 = x - 4$

$4x - x = - 4 - 8$

$3x = - 12$

$x = \frac{ - 12}{3}$

$x = - 4$