Question

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

Answer 1

`x = -6`

Explanation:

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

First, we want to simplify `-6(4-x)` using the distributive property:

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

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

Now subtract `color(blue)(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!