Question

How do you solve `8x + 54= 3x + 24`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(54)` and `color(blue)(3x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`8x - color(blue)(3x) + 54 - color(red)(54) = 3x - color(blue)(3x) + 24 - color(red)(54)`

`(8 - color(blue)(3))x + 0 = 0 - 30`

`5x = -30`

Now, divide each side of the equation by `color(red)(5)` to solve for `x` while keeping the equation balanced:

`(5x)/color(red)(5) = -30/color(red)(5)`

`(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = -6`

`x = -6`

Answer 2

`x=-6`

Explanation:

Start by subtracting `3x` from both sides:

`5x+54=24`

And subtract `54` from both sides:

`5x=-30`

Divide by `5`:

`(5x)/5=(-30)/5`

`x=-6`