Question

1/2(x - 4/5 ) - 3.( x + 2/9) = 5

Answer 1

\(\dfrac{1}{2}\left(x-\dfrac{4}{5}\right)-3\left(x+\dfrac{2}{9}\right)=5\)

\(\Leftrightarrow\dfrac{1}{2}x-\dfrac{2}{5}-3x-\dfrac{2}{3}-5=0\)

\(\Leftrightarrow\dfrac{-5}{2}x-\dfrac{91}{15}=0\)

\(\Leftrightarrow\dfrac{-5}{2}x=\dfrac{91}{15}\)

\(\Leftrightarrow x=-\dfrac{182}{75}\)

Answer 2

`1/2(x - 4/5 ) - 3.( x + 2/9) = 5`

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

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

`-5/2 x = 91/15`

`=> x = -182/75`

Answer 3

`1/2 (x - 4/5) - 3 . (x + 2/9) = 5`

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

`=> 1/2x - 16/15 - 3x = 5`

`=> 15x - 32 - 90x = 150`

`=> - 75x - 32 = 150`

`=> - 75x = 150 + 32`

`=> - 75x = 182`

`=> x = 182 : (-75)`

`=> x = -182/75`