Question

X/5=5+x-9/3 what’s the solution? show work please

Answer 1

x = - 15

Explanation:

Given

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

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

3x = 75 + 5(x - 9) ← distribute and simplify right side

3x = 75 + 5x - 45

3x = 5x + 30 ( subtract 5x from both sides )

- 2x = 30 ( divide both sides by - 2 )

x = - 15

As a check

substitute x = - 15 into the equation and if both sides are equal then it is the solution.

left side =
`(-15)/(5)` = - 3

right side = 5 +
`(-15-9)/(3)` = 5 +
`(-24)/(3)` = 5 - 8 = - 3

Thus x = - 15 is the solution