Final answer:
To solve the equation '-2x - 5 = 22 + x', we moved all the x terms to one side and numbers to the other, resulting in 'x = -27'.
Step-by-step explanation:
To solve the equation -2x - 5 = 22 + x, we need to isolate the variable x on one side. This is a typical problem involving variables on both sides of the equation.
First, we add x to both sides to get all x terms on one side:
-2x - 5 + x = 22 + x + x
-2x + x - 5 = 22 + 2x
After simplifying the like terms, we have:
-x - 5 = 22
Then, we add 5 to both sides in order to isolate the x term:
-x - 5 + 5 = 22 + 5
-x = 27
Finally, we multiply both sides by -1 to solve for x:
x = -27
The solution to the equation is x = -27. Whatever you want to do, just do it to both sides to maintain the equality.