Question

How do you solve `3( 9- 6x ) = - 153`?

Answer 1

See a solution process below:

Explanation:

First, divide each side of the equation by `color(red)(3)` to eliminate the need for parenthesis while keeping the equation balanced:

`(3(9 - 6x))/color(red)(3) = -153/color(red)(3)`

`(color(red)(cancel(color(black)(3)))(9 - 6x))/cancel(color(red)(3)) = -51`

`9 - 6x = -51`

Next, subtract `color(red)(9)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(red)(9) + 9 - 6x = -color(red)(9) - 51`

`0 - 6x = -60`

`-6x = -60`

Now, divide each side of the equation by `color(red)(-6)` to solve for `x` while keeping the equation balanced:

`(-6x)/color(red)(-6) = (-60)/color(red)(-6)`

`(color(red)(cancel(color(black)(-6)))x)/cancel(color(red)(-6)) = 10`

`x = 10`