Question

If `4(x-2/3)=-18`, what is the value of `2x`?

Answer 1

`-23/3`

Explanation:

The key realization is that we can solve for `x`, and then multiply it by `2` to solve for `2x`.

We can distribute the `4` to both terms in the parenthesis to get

`4x-8/3=-18`

Let's multiply all terms by `3` to get rid of the fraction. We get

`12x-8=-54`

Next, we can add `8` to both sides. We will get

`12x=-46`

Dividing both sides by `12` leaves us with

`x=-23/6`

We are not done. We have only solved for `x`, but to find `2x`, let's multiply this by two to get

`2x=-46/6` or `-23/3`

Hope this helps!

Answer 2

`2x=-23/3`

Explanation:

`"divide both sides by 4"`

`x-2/3=-18/4=-9/2`

`"add "2/3" to both sides"`

`x=-9/2+2/3=-27/6+4/6=-23/6`

`rArr2x=cancel(2)^1xx-23/cancel(6)^3=-23/3`