The equation given in the image is:

$4x - 3 = 3x + 7$

Let's solve this step by step:

1. Subtract $3x$ from both sides to get the terms involving $x$ on one side: $4x - 3x - 3 = 7$ Simplifying: $x - 3 = 7$

2. Add 3 to both sides to isolate $x$: $x = 7 + 3$ Simplifying: $x = 10$

So, the solution is: $x = 10$

The correct answer is option A: $x = 10$.

Would you like more details or have any other questions?

Here are 5 related questions you can explore:

1. How would the solution change if the constant term on the right side was negative?
2. Can this equation be solved using a graphical method?
3. How do you check if your solution to the equation is correct?
4. What happens if both sides of the equation have different coefficients for $x$?
5. How can this problem be extended to include quadratic terms?

Tip: Always simplify your equation step by step to avoid errors when solving for variables.