Question

Using the distributive property simplify this -2(x-3)

Answer 1

For this case we must simplify the following expression:

$-2 (x-3)$

By definition we have that the distributive property establishes that:

$a (b + c) = ab + ac$

So, if we have:

-2 (x-3)

We take into account the law of multiplication of signs:

$- * + = -\\- * - = +$

So:

$-2 (x-3) = - 2x + 2 * 3 = -2x + 6$

Answer:

$-2x + 6$