Question

X + 2/3 = 8/9 x=__ ..........................................

Answer 1

x =
`(2)/(9)`

Explanation:

Given

x +
`(2)/(3)` =
`(8)/(9)` ( multiply through by 9 to clear the fractions )

9x + 6 = 8 ( subtract 6 from both sides )

9x = 2 ( divide both sides by 9 )

x =
`(2)/(9)`

Answer 2

x = -6

Explanation:

`x+(2)/(3)=(8)/(9)x\\\\x = (8)/(9)x - (2)/(3)\\\\x - (8)/(9)x= -(2)/(3)\\\\(9)/(9)x-(8)/(9)x=(2)/(3)\\\\(1)/(9)x=-(2)/(3)\\\\x=-(2)/(3)*(9)/(1)\\\\x=(-2)*3\\\\x = -6`