The problem in the image asks you to solve the equation:

$-4x + 2 = 10$

Step-by-Step Solution:

1. Isolate $x$: Subtract 2 from both sides: $-4x = 10 - 2$ $-4x = 8$

2. Solve for $x$: Divide both sides by $-4$: $x = \frac{8}{-4}$ $x = -2$

Final Answer:

$x = -2$

The correct choice is: $x = -2$

Do you have any additional questions or need further explanation?

Related Questions:

1. How do you check if your solution for $x$ is correct?
2. Can you explain how to approach equations with negative coefficients?
3. What happens if the equation has no solution or infinite solutions?
4. How would this equation change if there were absolute values involved?
5. Can you rewrite this equation in slope-intercept form if it were treated as a linear function?

Tip: Always simplify equations step by step and check your work by substituting the solution back into the original equation!