Question

How do you simplify `-(x-4)`?

Answer 1

`-x+4`

Explanation:

Given:`" "-(x-4)`

This is the same as:`" "(-1)xx(x-4)`

Which means; multiply everything inside the bracket by negative one
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Consider "(-1)xx x)`

This is the same as `-x`

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`color(blue)("Consider "(-1)xx(-4))`

The number part is `1xx4=4`
The sign part is : multiply two signs that are the same and you end up with +

So `(-)xx(-)=+`

So `(-1)xx(-4) = +4`

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`color(blue)("Putting it all together")`

`color(brown)(-(x-4)color(green)(" "->" "-x+4)`