How do you simplify -(x-4)?

May 17, 2016

$- x + 4$

Explanation:

Given:$\text{ } - \left(x - 4\right)$

This is the same as:$\text{ } \left(- 1\right) \times \left(x - 4\right)$

Which means; multiply everything inside the bracket by negative one
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$\textcolor{b l u e}{\text{Consider } \left(- 1\right) \times x}$

This is the same as $- x$

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$\textcolor{b l u e}{\text{Consider } \left(- 1\right) \times \left(- 4\right)}$

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

So $\left(-\right) \times \left(-\right) = +$

So $\left(- 1\right) \times \left(- 4\right) = + 4$

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$\textcolor{b l u e}{\text{Putting it all together}}$

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