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solve the equation please show the process to solve 2x +3 = 2x +7Asked by Dino cat
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 can start by trying to isolate the variable \( x \). Here are the steps:
1. **Subtract \( 2x \) from both sides of the equation**:
\[
2x + 3 - 2x = 2x + 7 - 2x
\]
This simplifies to:
\[
3 = 7
\]
2. **Analyze the result**: The equation \( 3 = 7 \) is a contradiction; it is not true. This means that there are no values of \( x \) that can satisfy the original equation.
Thus, the equation \( 2x + 3 = 2x + 7 \) has **no solution**.
1. **Subtract \( 2x \) from both sides of the equation**:
\[
2x + 3 - 2x = 2x + 7 - 2x
\]
This simplifies to:
\[
3 = 7
\]
2. **Analyze the result**: The equation \( 3 = 7 \) is a contradiction; it is not true. This means that there are no values of \( x \) that can satisfy the original equation.
Thus, the equation \( 2x + 3 = 2x + 7 \) has **no solution**.
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