Question

How do you solve `3+ x = - 5x - 33`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(3)` and add `color(blue)(5x)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`3 + x - color(red)(3) + color(blue)(5x) = -5x - 33 - color(red)(3) + color(blue)(5x)`

`3 - color(red)(3) + 1x + color(blue)(5x) = -5x + color(blue)(5x) - 33 - color(red)(3)`

`0 + (1 + color(blue)(5))x = 0 - 36`

`6x = -36`

Step 2) Divide each side of the equation by `color(red)(6)` to solve for `x` while keeping the equation balanced:

`(6x)/color(red)(6) = -36/color(red)(6)`

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

`x = -6`