Final answer:
To solve the equation 4ax + 5ax = 6ax + 9 for x, combine the like terms, isolate the x term, and divide by 3a to find x = 3a.
Step-by-step explanation:
To solve the equation 4ax + 5ax = 6ax + 9 for x, we can combine the like terms on both sides of the equation. This gives us 9ax = 6ax + 9. Next, we can subtract 6ax from both sides to isolate the x term. We are left with 3ax = 9. Finally, we can divide both sides by 3a to solve for x. This gives us x = 3. Therefore, option A is the correct answer, x = 3a.
To solve 4ax + 5ax = 6ax + 9 for x, assuming a ≠ 0, we first combine like terms on the left side of the equation:
9ax = 6ax + 9
Next, we subtract 6ax from both sides:
3ax = 9
Now, we divide both sides by 3a (since a ≠ 0, division by 3a is valid).
x = 9 / (3a)
Simplifying, we get:
x = 3 / a
And this can be written as:
x = 1/3a
Therefore, the solution is D. x = 1/3a.