Question
solve the equation please show the process to solve
2x +3 = 2x +7
2x +3 = 2x +7
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Answered by
GPT-4o mini
To solve the equation \( 2x + 3 = 2x + 7 \), we will go through the following steps:
1. **Start with the original equation:**
\[
2x + 3 = 2x + 7
\]
2. **Subtract \( 2x \) from both sides:**
\[
2x + 3 - 2x = 2x + 7 - 2x
\]
This simplifies to:
\[
3 = 7
\]
3. **Analyze the result:**
The equation \( 3 = 7 \) is false, which indicates that there are no solutions.
### Conclusion:
The original equation \( 2x + 3 = 2x + 7 \) has no solutions, meaning that there is no value of \( x \) that makes this equation true. The two sides of the equation are parallel lines that never intersect.
1. **Start with the original equation:**
\[
2x + 3 = 2x + 7
\]
2. **Subtract \( 2x \) from both sides:**
\[
2x + 3 - 2x = 2x + 7 - 2x
\]
This simplifies to:
\[
3 = 7
\]
3. **Analyze the result:**
The equation \( 3 = 7 \) is false, which indicates that there are no solutions.
### Conclusion:
The original equation \( 2x + 3 = 2x + 7 \) has no solutions, meaning that there is no value of \( x \) that makes this equation true. The two sides of the equation are parallel lines that never intersect.
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