Question

\(\dfrac{2}{3}-\dfrac{1}{3}\left(x-\dfrac{3}{2}\right)-\dfrac{1}{2}\left(2x+1\right)=5\)

Answer 1

\(\dfrac{2}{3}-\dfrac{1}{3}\left(x-\dfrac{3}{2}\right)-\dfrac{1}{2}\left(2x+1\right)=5\)

\(\Rightarrow\dfrac{2}{3}-\dfrac{1}{3}x+\dfrac{1}{2}-x-\dfrac{1}{2}=5\)

\(\Rightarrow-\dfrac{4}{3}x+\dfrac{2}{3}=5\)

\(\Rightarrow-\dfrac{4}{3}x=\dfrac{13}{3}\)

\(\Rightarrow x=\dfrac{13}{3}:-\dfrac{4}{3}\)

\(\Rightarrow x=-\dfrac{13}{4}\)

Answer 2

=>2/3-1/3x+1/2-x-1/2=5

=>-4/3x=5-2/3=13/3

=>x=-13/4

Answer 3

`2/3 - 1/3x + 1/2 - x - 1/2 = 5`.

`2/3 - 4/3x = 5`

`<=> -13/3 = -4/3x`

`<=> 4/3x = -13/3`

`<=> x = =-13/4`.