Question

What is this? I need it please
1/3x+2=1/5x-8

Answer 1

`\boxed {x = -75}`

Explanation:

Solve for the value of
`x`:

`(1)/(3)x + 2 = (1)/(5)x - 8`

-Take
`(1)/(5)x` and subtract it from
`(1)/(3)x`:

`(1)/(3)x + 2 - (1)/(5)x = (1)/(5)x - (1)/(5)x - 8`

`(2)/(15)x + 2 = -8`

-Subtract
`2` to both sides:

`(2)/(15)x + 2 - 2 = -8 - 2`

`(2)/(15)x = -10`

-Multiply both sides by
`(15)/(2)`, which is the reciprocal of
`(2)/(15)`.

`x = -10 * ((15)/(2))`

`x = (-10 * 15)/(2)`

`x = (-150)/(2)`

-Divide
`-150` by
`2`:

`x = (-150)/(2)`

`\boxed {x = -75}`

So, the value of
`x` is
`-75`.