Question

8 more than four times a number is the same as 2/3 of the quanity of 9 plus a number. Find the value of the number.

Answer 1

4x + 8 =
`(2)/(3)`(9 + x)

12x + 24 = 2(9 + x) multiplied both sides by 3

12x + 24 = 18 + 2x distributed 2 on the right side

10x + 24 = 18 subtracted 2x from both sides

10x = -6 subtracted 24 from both sides

`(10x)/(10) = (-6)/(10)` divided both sides by 10

x =
`(-3)/(5)`

Answer:
`(-3)/(5)`