solve 14-3x=negative22+6x

It is not customary to write the word "negative" in an equation. Use a minus sign.

14 - 3x = -22 + 6x
Add 22 to both sides. Then add 3x to both sides. This will give you
36 = 9x
Finally, divide both sides of the equation by 9. That will tell you what x is.