The equation provided in the image is:

$-\frac{2}{3}x - \frac{7}{2} = -\frac{8}{3}x$

Steps to Solve:

1. Move all $x$-terms to one side: Add $-\frac{8}{3}x$ to both sides: $-\frac{2}{3}x + \frac{8}{3}x = \frac{7}{2}$

2. Simplify the $x$-terms: Combine the fractions: $\frac{-2 + 8}{3}x = \frac{7}{2}$ $\frac{6}{3}x = \frac{7}{2}$ $2x = \frac{7}{2}$

3. Solve for $x$: Divide both sides by 2: $x = \frac{\frac{7}{2}}{2}$ $x = \frac{7}{4}$

Final Answer:

$x = \frac{7}{4}$

Would you like further clarification or additional details?

Related Questions:

1. How do you handle equations with fractions effectively?
2. What are common mistakes to avoid when combining like terms?
3. How do you check your solution to ensure it satisfies the equation?
4. How would the solution change if the equation had no $x$-terms on one side?
5. What techniques can simplify solving equations with multiple fractions?

Tip: Always simplify fractions and combine like terms carefully to avoid errors.