To determine how many solutions the equation \(3x + 18 = 5x + 8\) has, we can solve for \(x\).
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Start with the original equation: \[ 3x + 18 = 5x + 8 \]
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Subtract \(3x\) from both sides: \[ 18 = 5x - 3x + 8 \] \[ 18 = 2x + 8 \]
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Next, subtract \(8\) from both sides: \[ 18 - 8 = 2x \] \[ 10 = 2x \]
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Now, divide both sides by \(2\): \[ x = \frac{10}{2} = 5 \]
The equation has one solution, which is \(x = 5\).
Thus, the equation \(3x + 18 = 5x + 8\) has one solution.
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