Question

How do you simplify `-2(3x-2)-2x`?

Answer 1

See explanation below:

Explanation:

First, expand the term in parenthesis `(color(blue)(3x) - color(blue)(2)`) by multiplying it by the term outside the parenthesis - `color(red)(-2)`. Be careful to manage the signs correctly:

`(color(red)(-2) * color(blue)(3x)) + (color(red)(-2) * color(blue)(-2)) - 2x ->`

`(-6x) + (+4) - 2x -> -6x + 4 - 2x`

Next group like terms:

`-6x - 2x + 4`

Now, combine like terms:

`(-6 - 2)x + 4`

`-8x + 4` or `4(2 - x)`