Question

How do you solve `7( 4x + 2) + 3= - 67`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis on the left side of the equation by multiplying each term inside the parenthesis by the term outside the parenthesis:

`color(red)(7)(4x + 2) + 3 = -67`

`(color(red)(7) * 4x) + (color(red)(7) * 2) + 3 = -67`

`28x + 14 + 3 = -67`

`28x + 17 = -67`

Next, subtract `color(red)(17)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`28x + 17 - color(red)(17) = -67 - color(red)(17)`

`28x + 0 = -84`

`28x = -84`

Now, divide each side of the equation by `color(red)(28)` to solve for `x` while keeping the equation balanced:

`(28x)/color(red)(28) = -84/color(red)(28)`

`(color(red)(cancel(color(black)(28)))x)/cancel(color(red)(28)) = -3`

`x = -3`