Question

How do you solve `6x + 12= - 84- 10x`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(12)` and add `color(blue)(10x)` to each side of the equation to isolate the `x` term while keeping the inequality balanced:

`6x + color(blue)(10x) + 12 - color(red)(12) = -84 - color(red)(12) - 10x + color(blue)(10x)`

`(6 + color(blue)(10))x + 0 = -96 - 0`

`16x = -96`

Now, divide each side of the equation by `color(red)(16)` to solve for `x` while keeping the equation balanced:

`(16x)/color(red)(16) = -96/color(red)(16)`

`(color(red)(cancel(color(black)(16)))x)/cancel(color(red)(16)) = -6`

`x = -6`