Final answer:
To solve the equation 8x + 15 = 6x - 9, subtract 6x from both sides, then subtract 15 from both sides, and finally divide by 2, resulting in the solution x = -12.
Step-by-step explanation:
To solve for x in the equation 8x + 15 = 6x - 9, we need to isolate x on one side of the equation. This involves several steps including:
- Subtracting 6x from both sides of the equation, which gives us 2x + 15 = -9.
- Subtracting 15 from both sides of the equation, yielding 2x = -24.
- Dividing both sides by 2, resulting in x = -12.
Therefore, the solution to the equation is x = -12.