Question

Find the value of x

1/3(2x-1)-1/4(2x+1)=1/12(2-x)​
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Answer 1

$\huge\sf\red{\underline{\underline{Given}}}\::$

$\begin{cases}\sf\gray{\dfrac{1}{3} (2x - 1) - \dfrac{1}{4}(2x + 1) = \dfrac{1}{12} (2 - x)} \end{cases}$

$\huge\sf\blue{\underline{\underline{To\:Find}}}\::$

$\begin{cases}\sf\gray{ value \: of \: x} \end{cases}$

$\huge\sf\pink{\underline{\underline{Solution}}}\::$

$\sf\mapsto\:\:\:\purple{ \dfrac{1}{3} \times (2x - 1) - \dfrac{1}{4} \times (2x + 1) = \dfrac{1}{12} \times (2 - x)} \\ \\ \sf\mapsto\:\:\:\green {\frac{2x - 1}{3} - \frac{2x + 1}{4} = \frac{2 - x}{12}} \\\\ \sf\mapsto\:\:\:\purple{ \frac{8x - 4 - (6x + 3)}{12} = \frac{2 - x}{12}} \\\\ \sf\mapsto\:\:\:\green{ \frac{8x - 4 - 6x - 3} {12} \times 12 = 2 - x} \\\\ \sf\mapsto\:\:\:\purple{ 2x - 7 = 2 - x} \\\\ \sf\mapsto\:\:\:\green{ 2x + x = 2 + 7} \\\\ \sf\mapsto\:\:\:\purple{ 3x = 9} \\\\ \sf\mapsto\:\:\:\green{ x = \frac{9}{3}} \\\\ \sf\mapsto\:\:\:\underline\pink{ x \ = \ 3}$

$\star\:\:\sf\underline\red{Hence, \ The \ value \ of \ x \ is \ 3}$

Answer 2

Answer:

x= 3 is the answer

Step-by-step explanation:

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