Question

How do you solve `4( x + 3) = 3x - 10`?

Answer 1

See the entire solution process below:

Explanation:

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

`color(red)(4)(x + 3) = 3x - 10`

`(color(red)(4) xx x) + (color(red)(4) xx 3) = 3x - 10`

`4x + 12 = 3x - 10`

Now, subtract `color(red)(12)` and `color(blue)(3x)` from each side of the equation to solve for `x` while keeping the equation balanced:

`4x + 12 - color(red)(12) - color(blue)(3x) = 3x - 10 - color(red)(12) - color(blue)(3x)`

`4x - color(blue)(3x) + 12 - color(red)(12) = 3x - color(blue)(3x) - 10 - color(red)(12)`

`(4 - color(blue)(3))x + 0 = 0 - 22`

`1x = -22`

`x = -22`