The equation provided in the image is:

$6 - 6x = 6x - 9x + 12$

Let's solve for $x$:

1. Simplify both sides of the equation:

$6 - 6x = 6x - 9x + 12$ $6 - 6x = -3x + 12$

2. Move all terms involving $x$ to one side and constant terms to the other:

$6 - 12 = -3x + 6x$ $-6 = 3x$

3. Solve for $x$:

$x = \frac{-6}{3} = -2$

Thus, the value of $x$ is $-2$.

Would you like further clarification? Here are some additional questions for practice:

1. How do you solve equations with variables on both sides?
2. What are the steps for simplifying an algebraic expression?
3. How do you handle negative coefficients when solving equations?
4. What is the general strategy for moving variables to one side of the equation?
5. How do you verify the solution to a linear equation?

Tip: Always simplify both sides of the equation before attempting to solve for the variable.