The equation from the image is:

$6 + 2x = 7x - 9$

Let's solve this step by step.

Step 1: Move all terms involving $x$ to one side.

Subtract $2x$ from both sides:

$6 = 7x - 2x - 9$

This simplifies to:

$6 = 5x - 9$

Step 2: Move the constant terms to the other side.

Add 9 to both sides:

$6 + 9 = 5x$

This simplifies to:

$15 = 5x$

Step 3: Solve for $x$.

Divide both sides by 5:

$x = \frac{15}{5}$

$x = 3$

Thus, the solution is $x = 3$.

Would you like a more detailed explanation of any step, or do you have any questions?

Here are five related questions you might find useful:

1. What would happen if the signs in the equation were reversed?
2. Can this type of equation be solved graphically?
3. How do you handle equations with variables on both sides?
4. What if the coefficients of $x$ were fractions or decimals?
5. How does solving a quadratic equation differ from this?

Tip: Always try to simplify the equation step by step to avoid mistakes when solving for the variable!