Question

How do you solve `-6( x + 7) = 12`?

Answer 1

`x=-9`

Explanation:

`"divide both sides by "-6`

`cancel(-6)/cancel(-6)(x+7)=12/(-6)`

`rArrx+7=-2`

`"subtract 7 from both sides"`

`xcancel(+7)cancel(-7)=-2-7`

`rArrx=-9" is the solution"`

Answer 2

See a solution process below:

Explanation:

First, divide each side of the equation by `color(red)(-6)` to eliminate the need for the parenthesis while keeping the equation balanced:

`(-6(x + 7))/color(red)(-6) = 12/color(red)(-6)`

`(color(red)(cancel(color(black)(-6)))(x + 7))/cancel(color(red)(-6)) = -2`

`x + 7 = -2`

Now, subtract `color(red)(7)` from each side of the equation to solve for `x` while keeping the equation balanced:

`x + 7 - color(red)(7) = -2 - color(red)(7)`

`x + 0 = -9`

`x = -9`

Answer 3

`x=-9`

Explanation:

Distribute `-6` through the parenthesis

`-6x-42=12`

Add `42` to both sides

`-6x=54`

Divide both sides by `-6` to isolate `x`

`x=-54/6=-9`