Math, asked by gurtaj3, 1 year ago

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

Answers

Answered by sonam50
0
x=-121/20
 - 6 \tfrac{1}{20}
Answered by Salmonpanna2022
1

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}

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