Question

How do you solve `2x + 24+ 3x = 84`?

Answer 1

See a solution process below:

Explanation:

First, group and combine like terms on the left side of the equation:

`2x + 24 + 3x = 84`

`2x + 3x + 24 = 84`

`(2 + 3)x + 24 = 84`

`5x + 24 = 84`

Next, subtract `color(red)(24)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`5x + 24 - color(red)(24) = 84 - color(red)(24)`

`5x + 0 = 60`

`5x = 60`

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

`(5x)/color(red)(5) = 60/color(red)(5)`

`(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 12`

`x = 12`