For the equation 2(x−5)=9−3x+6+8+3x+7

Question

, the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
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Simplify the left side of the equation: Response area

Simplify the right side of the equation: Response Area

6x + 30, 30x, 2x - 10, 2x - 5, 30, 36x

Answer 1

To simplify the equation \( 2(x−5)=9−3x+6+8+3x+7 \):

1. Left Side:

   • Using the Distributive Property on \( 2(x−5) \): \[ 2(x−5) = 2x - 10 \]

2. Right Side:

   • Combining like terms for \( 9−3x+6+8+3x+7 \): \[ 9 + 6 + 8 + 7 = 30 \quad \text{and} \quad -3x + 3x = 0 \] Thus, the right side simplifies to: \[ 30 \]

Responses:

• Simplified Left Side: 2x - 10
• Simplified Right Side: 30