To simplify the expression \(3x + 6y - 8y + 2x\), we can group the \(x\) and \(y\) terms separately.
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Combine the \(x\) terms: \[ 3x + 2x = 5x \]
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Combine the \(y\) terms: \[ 6y - 8y = -2y \]
Now, putting it all together, we have: \[ 5x - 2y \]
Thus, the simplified expression is: \[ \boxed{5x - 2y} \]