Question

How do you solve `4x - 24= - 5x + 12`?

Answer 1

`x = 4`

Here's how I did it:

Explanation:

`4x - 24 = -5x + 12`

First, add `color(blue)24` to both sides:
`4x - 24 quadcolor(blue)(+quad24) = -5x + 12 quadcolor(blue)(+quad24)`

`4x = -5x + 36`

Now add `color(blue)(5x)` to both sides:
`4x quadcolor(blue)(+quad5x) = -5x + 36 quadcolor(blue)(+quad5x)`

`9x = 36`

Finally, divide both sides by `color(blue)9`:
`(9x)/color(blue)9 = 36/color(blue)9`

Therefore,
`x = 4`

Hope this helps!

Answer 2

`x=4`

Explanation:

Combining like terms:

`9x=36`

so

`x=4`

Answer 3

`x=4`

Explanation:

`"collect terms in x on the left side and numeric values on"`
`"the right side"`

`"add "5x" to both sides"`

`4x+5x-24=12`

`"add 24 to both sides"`

`9x=12+24=36`

`"divide both sides by 9"`

`x=36/9=4`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=16-24=-8`

`"right "=-20+12=-8`

`x=4" is the solution"`