Question

How do you solve `32 8 = 8 ( 5 - 6 x )`?

Answer 1

See a solution process below:

Explanation:

First, divide each side of the equation by `color(red)(8)` to eliminate the parenthesis while keeping the equation balanced:

`328/color(red)(8) = (8(5 - 6x))/color(red)(8)`

`41 = (color(red)(cancel(color(black)(8)))(5 - 6x))/cancel(color(red)(8))`

`41 = 5 - 6x`

Next, subtract `color(red)(5)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`41 - color(red)(5) = 5 - color(red)(5) - 6x`

`36 = 0 - 6x`

`36 = -6x`

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

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

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

`-6 = x`

`x = -6`