The equation provided in the image is:

$-(-6x + 5) = 4(4x - 3)$

Let's solve this step by step.

Step 1: Simplify both sides

On the left-hand side, distribute the negative sign:

$-(-6x + 5) = 6x - 5$

On the right-hand side, distribute the $4$ to both terms inside the parentheses:

$4(4x - 3) = 16x - 12$

So the equation becomes:

$6x - 5 = 16x - 12$

Step 2: Move all $x$-terms to one side

To move the $x$-terms to one side, subtract $6x$ from both sides:

$-5 = 10x - 12$

Step 3: Isolate $x$

Now, add $12$ to both sides to isolate the $x$-term:

$7 = 10x$

Step 4: Solve for $x$

Finally, divide both sides by $10$:

$x = \frac{7}{10}$

Thus, the solution to the equation is:

$x = \frac{7}{10}$

Would you like more details or have any other questions?

Here are 5 related questions to explore further:

1. What are the steps to solve an equation with fractions?
2. How can you check if your solution to an equation is correct?
3. What happens when the variable terms cancel out and you're left with a true statement?
4. How do you solve equations involving parentheses and distribution?
5. What does it mean for an equation to have "infinite solutions" or "no solutions"?

Tip: When solving equations, always simplify both sides first before moving terms around.