The image asks to solve the equation:

$bx - 3b + 6 = 0$

Let's solve this equation step by step.

Step 1: Isolate the term involving $x$

First, subtract 6 from both sides to move the constant term:

$bx - 3b = -6$

Step 2: Solve for $x$

Now, add $3b$ to both sides:

$bx = 3b - 6$

Finally, divide both sides by $b$ (assuming $b \neq 0$):

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

Step 3: Simplify the expression

We can simplify this by dividing each term in the numerator by $b$:

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

So the solution for $x$ is:

$\boxed{x = 3 - \frac{6}{b}}$

Would you like further details on the steps or have any questions?

Related Questions:

1. What happens to the value of $x$ as $b$ approaches zero?
2. How would the solution change if the equation had an additional constant term on the right side?
3. Can you graph the relationship between $x$ and $b$ based on the solution?
4. What are the implications if $b = 0$?
5. How would you solve the equation if it were quadratic, such as $bx^2 - 3b + 6 = 0$?

Tip: When simplifying fractions, always check if each term can be divided by the common denominator to reduce the expression.