What is the solution to the equation 9x + 6 = 33?

To solve the equation 9x + 6 = 33, the first step is to isolate the term with the variable, which is 9x. This can be accomplished by subtracting 6 from both sides of the equation:

9x + 6 - 6 = 33 - 6

This simplifies to:

9x = 27

Next, to solve for x, divide both sides of the equation by 9:

9x / 9 = 27 / 9

This yields:

x = 3

Thus, the correct solution to the equation is indeed 3. This result can be verified by substituting back into the original equation. If you replace x with 3, you get:

9(3) + 6 = 27 + 6 = 33, which holds true.

This demonstrates that the answer of 3 is not only derived correctly through the algebraic steps but is also confirmed by substituting it back into the original equation to check its validity.