Question

7/2-(3/2-(x+7/2)=-9/11

Answer 1

\(\dfrac{7}{2}-\left[\dfrac{3}{2}-\left(x+\dfrac{7}{2}\right)\right]=-\dfrac{9}{11}\)

\(\Rightarrow\dfrac{7}{2}-\left(\dfrac{3}{2}-x-\dfrac{7}{2}\right)=-\dfrac{9}{11}\)

\(\Rightarrow-\left(-2-x\right)=-\dfrac{95}{22}\)

\(\Rightarrow x+2=-\dfrac{95}{22}\)

\(\Rightarrow x=-\dfrac{139}{22}\)

Answer 2

\(\dfrac{7}{2}-\left[\dfrac{3}{2}-\left(x+\dfrac{7}{2}\right)\right]=\dfrac{-9}{11}\)

<=> \(\dfrac{7}{2}-\left(\dfrac{3}{2}-x-\dfrac{7}{2}\right)=\dfrac{-9}{11}\)

<=> \(\dfrac{7}{2}-\left(-2-x\right)=\dfrac{-9}{11}\)

<=> \(\dfrac{7}{2}+2+x=\dfrac{-9}{11}\)

<=> \(x=\dfrac{-9}{11}-\dfrac{7}{2}-2\)

<=> \(x=\dfrac{-139}{22}\)

Answer 3

7/2-[3/2-(x+7/2)]=-9/11

3/2-(x+7/2)=7/2-(-9/11)=95/22

x+7/2=3/2-95/22=-31/11

x=(-31/11)-7/2

x= -139/22

HT