Final answer:
To solve the equation 3x+6=-2x-9, we can combine like terms, isolate x, and solve for x to find that x is equal to -3.
Step-by-step explanation:
To solve the equation 3x+6=-2x-9, we want to isolate x on one side of the equation. First, let's simplify both sides of the equation:
3x + 6 = -2x - 9
Next, we can combine like terms by adding 2x to both sides:
3x + 2x + 6 = -9
This simplifies to:
5x + 6 = -9
Now, let's isolate x by subtracting 6 from both sides:
5x = -15
Finally, we can solve for x by dividing both sides of the equation by 5:
x = -3