Question

How do you solve `-4(3x-2)=-32` using the distributive property?

Answer 1

`x = 3 1/3`

Explanation:

We will use the distributive property (shown below) to simplify `-4(3x-2)`:

Following this image, we know that:
`color(blue)(-4(3x-2) = (-4 * 3x) + (-4 * -2) = -12x + 8)`

Put that back into the equation:
`-12x + 8 = -32`

Now subtract `color(blue)8` from both sides of the equation:
`-12x + 8 quadcolor(blue)(-quad8) = -32 quadcolor(blue)(-quad8)`

`-12x = -40`

Next, divide both sides by `color(blue)(-12)`:
`(-12x)/color(blue)(-12) = (-40)/color(blue)(-12)`

`x = 3 1/3`

Hope this helps!