Question

How do you solve `-3( 4- 7x ) = 93`?

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(4 - 7x))/color(red)(-3) = 93/color(red)(-3)`

`(color(red)(cancel(color(black)(-3)))(4 - 7x))/cancel(color(red)(-3)) = -31`

`4 - 7x = -31`

Next, subtract `color(red)(4)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(red)(4) + 4 - 7x = -color(red)(4) - 31`

`0 - 7x = -35`

`-7x = -35`

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

`(-7x)/color(red)(-7) = (-35)/color(red)(-7)`

`(color(red)(cancel(color(black)(-7)))x)/cancel(color(red)(-7)) = 5`

`x = 5`