The equation from the image is:

$-2(x - 4) - x = -(4x - 10)$

Let's solve this step by step.

Step 1: Distribute the terms.

Distribute the $-2$ on the left-hand side and the negative sign on the right-hand side:

$-2(x - 4) = -2x + 8$ $-(4x - 10) = -4x + 10$

So, the equation becomes:

$-2x + 8 - x = -4x + 10$

Step 2: Combine like terms.

On the left-hand side:

$-2x - x = -3x$

Thus, the equation is now:

$-3x + 8 = -4x + 10$

Step 3: Move all $x$-terms to one side.

Add $4x$ to both sides:

$-3x + 4x + 8 = 10$ $x + 8 = 10$

Step 4: Isolate $x$.

Subtract 8 from both sides:

$x = 10 - 8$ $x = 2$

The solution is $x = 2$.

Would you like more details on any of the steps? Here are some related questions you might find helpful:

1. How do you solve equations with distribution?
2. Can you explain combining like terms in more detail?
3. What are the common steps to solve linear equations?
4. How do you check if the solution is correct by plugging it back into the original equation?
5. What are some strategies to handle more complex equations?

Tip: Always double-check your work by substituting the solution back into the original equation to verify its accuracy.