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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) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Simplify the left side of the equation: Response area Simplify the right side of the equation:

answer choices: 6x+30,2x-5,2x-10,30x,30,36x

1 answer

To simplify the left side of the equation \(2(x - 5)\):

Using the Distributive Property:

\[ 2(x - 5) = 2x - 10 \]

So the left side simplifies to \(2x - 10\).

For the right side of the equation \(9 - 3x + 6 + 8 + 3x + 7\):

First, combine like terms step by step:

  • Combine the constant terms: \(9 + 6 + 8 + 7 = 30\)
  • Combine the \(x\) terms: \(-3x + 3x = 0\)

Thus, the right side simplifies to \(30\).

So, the final responses are:

  1. Simplify the left side of the equation: 2x - 10
  2. Simplify the right side of the equation: 30