Questions: Simplify. -3(x+4)+2x

Transcript text: Simplify. \[ -3(x+4)+2 x \]

Solution

To simplify the expression \(-3(x+4)+2x\), we need to distribute the \(-3\) across the terms inside the parentheses and then combine like terms.

Step 1: Distribute the Terms

We start with the expression: \[ -3(x + 4) + 2x \] Distributing \(-3\) gives: \[ -3x - 12 + 2x \]

Step 2: Combine Like Terms

Next, we combine the like terms \(-3x\) and \(2x\): \[ (-3x + 2x) - 12 = -x - 12 \]

The simplified expression is: \[ \boxed{-x - 12} \]

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