5. Given the equation \( 6 x-9=3 x+12 \), which of the following is an acceptable first step toward solving the equation? A. Subtract 9 from both sides of the equation. B. Add 12 to both sides of the equation. C. Subtract \( 3 x \) from both sides of the equation. D. Add \( 6 x \) to both sides of the equation.

Let's break down the equation \( 6x - 9 = 3x + 12 \) to find an acceptable first step. Each option manipulates the equation differently. One fun way to look at it: A great first move could be to get all the x terms over to the same side! If we choose option C, "Subtract \( 3x \) from both sides," we’re setting ourselves up to consolidate all the x’s in one spot, making it easier to see what we need to do next! If you're new to solving equations, remember that maintaining the balance of the equation is key! Each action must be mirrored on the two sides, like a scale. So, while all the options technically work to some degree, choosing the right one simplifies your path to the solution!