To solve the equation \( 3x + 2 = x + 8 \), follow these steps:
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Subtract \( x \) from both sides: \[ 3x - x + 2 = 8 \] This simplifies to: \[ 2x + 2 = 8 \]
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Next, subtract 2 from both sides: \[ 2x + 2 - 2 = 8 - 2 \] This simplifies to: \[ 2x = 6 \]
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Now, divide both sides by 2: \[ x = \frac{6}{2} \] This simplifies to: \[ x = 3 \]
Thus, the solution is \( x = 3 \).