For the equation 2(x−5)=9−3x+6+8+3x+7 , 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)

Question

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Simplify the left side of the equation: Response area

Simplify the right side of the equation: Response area

Answer 1

To simplify both sides of the equation \(2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7\), we can follow these steps:

1. Left Side: Using the Distributive Property to simplify \(2(x - 5)\): \[ 2(x) - 2(5) = 2x - 10 \] So the left side simplifies to: \(2x - 10\)

2. Right Side: Combining like terms on the right side, we compute: \[ 9 + 6 + 8 + 7 - 3x + 3x \] First, combine the constants: \[ 9 + 6 = 15, \] \[ 15 + 8 = 23, \] \[ 23 + 7 = 30. \] Then, for the terms involving \(x\): \(-3x + 3x = 0\). Therefore, the right side simplifies to: \(30\)

So the final simplified responses are:

• Left Side: \(2x - 10\)
• Right Side: \(30\)