Question

How do you solve `7+ 4( - 7x + 8) = 95`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(7)` from each side of the equation to isolate the term with the parenthesis while keeping the equation balanced:

`7 - color(red)(7) + 4(-7x + 8) = 95 - color(red)(7)`

`0 + 4(-7x + 8) = 88`

`4(-7x + 8) = 88`

Next, divide each side of the equation by `color(red)(4)` to eliminate the need for parenthesis while keeping the equation balanced:

`(4(-7x + 8))/color(red)(4) = 88/color(red)(4)`

`(color(red)(cancel(color(black)(4)))(-7x + 8))/cancel(color(red)(4)) = 22`

`-7x + 8 = 22`

Then, subtract `color(red)(8)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-7x + 8 - color(red)(8) = 22 - color(red)(8)`

`-7x + 0 = 14`

`-7x = 14`

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

`(-7x)/color(red)(-7) = 14/color(red)(-7)`

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

`x = -2`