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The solution to the equation is \( x = 2 \).

Would you like further explanation or details on the steps involved? Here are some related questions to explore:

1. How do we handle fractions in equations like this?
2. Can you show the steps for solving linear equations with fractions?
3. What happens if we modify the constants in the equation?
4. How do we verify the solution once it's obtained?
5. Can this equation be solved graphically?

**Tip**: When solving equations with fractions, it's often helpful to eliminate the denominators by multiplying through by the least common denominator (LCD).

Solve the equation 4 - (5x - 2)/5 = -(x + 4)/10 + (x + 4)/2

Learn how to solve the linear equation 4 - (5x - 2)/5 = -(x + 4)/10 + (x + 4)/2 with detailed steps. This problem involves key algebraic concepts, including the elimination of fractions and solving linear equations. Suitable for students in Grades 9-11.

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