Question

slove the equation
x+2/6-(-11-x/3-1/4) =3x-4/12​

Answer 1

Answer:

x=7.15

Step-by-step explanation:

x+2/6-(-11-x/3-1/4) =3x-4/12

x + 2/6 + 11 + x/3 + 1/4 = 3x - 4/12

multiply x by 3 and 2/6 by 2, 11 by 12, and 1/4 by 3 to make the denominator same.

(3x+x)/3 + (4+ 132 + 3)/12 = 3x - 4/12

4x/3 + 139/12 = 3x - 4/12

multiply 3x by 3

(4x - 9x)/3 = (- 4 - 139)/12

-5x/3 = - 143/ 12

cross multiplying

12(-5x) = 3 (-143)

-60 = -429

signs will cancel out

x = 429/ 60

x = 7.15

Answer 2

Step-by-step explanation:

$\mathsf{Given : \dfrac{x + 2}{6} - \bigg(\dfrac{11 - x}{3} - \dfrac{1}{4}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{x + 2}{6} - \bigg(\dfrac{4(11 - x) - 3}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{x + 2}{6} - \bigg(\dfrac{44 - 4x - 3}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{x + 2}{6} - \bigg(\dfrac{41 - 4x}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \bigg(\dfrac{x + 2}{6} - \dfrac{(41 - 4x)}{12}\bigg) = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{2(x + 2) - (41 - 4x)}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{2x + 4 - 41 + 4x}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\implies \dfrac{-37 + 6x}{12} = \dfrac{3x - 4}{12}}$

$\mathsf{\implies {-37 + 6x} = {3x - 4}}$

$\mathsf{\implies 6x - 3x = 37 - 4}$

$\mathsf{\implies 3x = 33}$

$\mathsf{\implies x = \dfrac{33}{3}}$

$\mathsf{\implies x = 11}$