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Solve the equation for x.

3(2x+4)=6

(1 point)
x=

1 answer

To solve the equation \( 3(2x + 4) = 6 \), follow these steps:

  1. Distribute the 3 on the left side: \[ 3 \cdot 2x + 3 \cdot 4 = 6 \] This simplifies to: \[ 6x + 12 = 6 \]

  2. Subtract 12 from both sides: \[ 6x + 12 - 12 = 6 - 12 \] Simplifying gives: \[ 6x = -6 \]

  3. Divide both sides by 6: \[ x = \frac{-6}{6} \] Simplifying gives: \[ x = -1 \]

So the solution is: \[ \boxed{-1} \]