How do you solve -6( 4- x ) = 12x6(4x)=12x?

1 Answer
May 25, 2018

x = -6x=6

Explanation:

-6(4-x)=12x6(4x)=12x

First, we want to simplify -6(4-x)6(4x) using the distributive property:
cdn.virtualnerd.com

Following this image, we know it becomes:
color(blue)(-6(4-x) = (-6 * 4) + (-6 * -x) = -24 + 6x)6(4x)=(64)+(6x)=24+6x

Let's put that back into the equation:
-24 + 6x = 12x24+6x=12x

Now subtract color(blue)(6x)6x from both sides of the equation:
-24 + 6x quadcolor(blue)(-quad6x) = 12x quadcolor(blue)(-quad6x)

-24 = 6x

Now divide both sides by color(blue)6:
-24/color(blue)6 = (6x)/color(blue)6

-6 = x

Therefore,
x = -6

Hope this helps!