Question

How do you solve `(5x-3)/2=3x+8`?

Answer 1

`x=-19`

Explanation:

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

Let's get rid of the `2` in the denominator. No one likes fractions after all. So times `2` on both sides.
On the right side, the `2` disappears, since `2 xx 1/2 = 1`. On the left side, `3x xx 2= 6x and 8 xx 2 = 16.`

Now you have:
`5x-3 = 6x + 16`

Subtract `5x` on both sides.

On the left side, we have `5x-5x = 0`. The right side is `6x - 5x = x`.

Now we have:
`-3 = x +16`

Subtract `16` on both sides so we can get `x`.

On the right side, we have `16 - 16 = 0`. On the left side, we have `-3 - 16 = -19.`

Therefore, `x = -19`.

Hope this helps! :)