Question

How do you solve `-x -11 = x-19`?

Answer 1

See the entire solution process below:

Explanation:

First, add `color(red)(x)` and `color(blue)(19)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`-x - 11 + color(red)(x) + color(blue)(19) = x - 19 + color(red)(x) + color(blue)(19)`

`-x + color(red)(x) - 11 + color(blue)(19) = x + color(red)(x) - 19 + color(blue)(19)`

`0 + 8 = 2x - 0`

`8 = 2x`

Now, divide each side of the equation by `color(red)(2)` to solve for `x` while keeping the equation balanced:

`8/color(red)(2) = (2x)/color(red)(2)`

`4 = (color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2))`

`4 = x`

`x = 4`

Answer 2

`x=4`

Explanation:

We can start by adding `11` to both sides to get

`-x=x-8`

Next, we can subtract `x` from both sides to get

`-2x=-8`

Lastly, we can divide both sides by `-2` to get

`x=4`

Hope this helps!