To solve the equation \( 2(x+8) = 2x + 8 \), we will follow these steps:
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Distribute on the left side: \[ 2(x+8) = 2 \cdot x + 2 \cdot 8 \] This simplifies to: \[ 2x + 16 \] So the equation now reads: \[ 2x + 16 = 2x + 8 \]
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Subtract \(2x\) from both sides: \[ 2x + 16 - 2x = 2x + 8 - 2x \] This simplifies to: \[ 16 = 8 \]
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Analyze the resulting statement: The statement \(16 = 8\) is a contradiction. This means that there is no value of \(x\) that can satisfy the original equation.
Thus, we conclude that the equation has no solution.
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