Question

Solve for x. In the equation 9x +1/3= x-13

Answer 1

Explanation:

9x+
`(1)/(3)`=x-13

9x*3+1/3=x-13

27x+1/3=x-13

27x+1=3(x-13)

27x+1=3x-39

27x-3x=-39-1

24x=-40

x=-5/3

x=-5/3

Answer 2

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

Explanation:

Given

9x +
`(1)/(3)` = x - 13 ( multiply through by 3 to clear the fraction )

27x + 1 = 3x - 39 ( subtract 3x from both sides )

24x + 1 = - 39 ( subtract 1 from both sides )

24x = - 40 ( divide both sides by 24 )

x =
`(-40)/(24)` = -
`(5)/(3)`