Let me extract the equation from the image and solve it for you.

The equation seems to be:

$4(x - 1) - 1 = 2(x - 3)$

Solving the equation step by step:

1. Distribute the constants: $4(x - 1) - 1 = 2(x - 3)$ Expanding both sides: $4x - 4 - 1 = 2x - 6$ Simplify: $4x - 5 = 2x - 6$

2. Move the terms with $x$ to one side and constants to the other: $4x - 2x = -6 + 5$ Simplifying: $2x = -1$

3. Solve for $x$: $x = \frac{-1}{2}$

Thus, the solution is $x = -\frac{1}{2}$.

Would you like to confirm or have further details on the steps? Let me know if you have any questions.

Related Questions:

1. What happens if the equation has no solution?
2. Can you describe an example where all real numbers are solutions?
3. How do you handle solving inequalities instead of equations?
4. What is the next step when both sides of an equation are quadratic?
5. How would the equation change if both sides were multiplied by a constant?

Tip:

Always check for any potential restrictions in the domain of the equation before solving, especially when dealing with square roots or logarithms.