Answer/ Step-by-step explanation: The equation 5x + 20 = 5x + 10 can be simplified by combining like terms. Let's break it down step by step:
1. Start with the given equation: 5x + 20 = 5x + 10
2. Simplify the equation: By subtracting 5x from both sides of the equation, we can eliminate the variable x on both sides, since 5x - 5x = 0.
5x + 20 - 5x = 5x + 10 - 5x
Simplifying further:
20 = 10
3. Analyze the result: The equation simplifies to 20 = 10, which is not true.
4. Conclusion: Since the equation simplifies to a false statement, there are no solutions to the equation. This means that the equation 5x + 20 = 5x + 10 has no solutions.