Question

How to solve the blank

Answer 1

blank = - 3

Explanation:

let x represent the blanks , then

`(2)/(3)` (
`(9)/(5)` + x) =
`(2)/(5)` x +
`(2)/(5)`

multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

10(
`(9)/(5)` + x) = 6x + 6 ← distribute parenthesis on left side

`(90)/(5)` + 10x = 6x + 6

18 + 10x = 6x + 6 ( subtract 6x from both sides )

18 + 4x = 6 ( subtract 18 from both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3