To solve the equation \(8x + 48 - 10 = 3x + 36 + 5x\), follow these steps:

1. **Simplify both sides of the equation:**
   \[
   8x + 38 = 3x + 5x + 36
   \]
   \[
   8x + 38 = 8x + 36
   \]

2. **Move all terms involving \(x\) to one side of the equation:**
   Subtract \(8x\) from both sides:
   \[
   8x - 8x + 38 = 8x - 8x + 36
   \]
   \[
   38 = 36
   \]

3. **Analyze the result:**
   The equation simplifies to \(38 = 36\), which is a contradiction. This means that there is no value of \(x\) that can satisfy this equation.

**Conclusion:** The equation has no solution.

Would you like more details or have any questions?

Here are some related questions:
1. How do you identify if an equation has no solution or infinite solutions?
2. What does it mean when both sides of an equation are equal?
3. How do you solve equations involving absolute values?
4. What is the difference between consistent and inconsistent systems of equations?
5. How do you solve linear inequalities?

**Tip:** If simplifying an equation leads to a false statement (like \(38 = 36\)), it indicates the equation has no solution.

Learn how to solve the equation 8x + 48 - 10 = 3x + 36 + 5x step-by-step with a detailed solution. Understand concepts such as equation simplification and identifying contradictions in equations. Suitable for students in Grades 9-12.

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