To solve the equation \( 2x + 3 = 2x + 7 \), we can start by trying to isolate the variable \( x \). Here are the steps:
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Subtract \( 2x \) from both sides of the equation: \[ 2x + 3 - 2x = 2x + 7 - 2x \] This simplifies to: \[ 3 = 7 \]
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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.