9. 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 areaSimplify the right side of the equation: Response area302x−536x6x+3030x2x−10Question 5

Answer 1

To simplify the equation \( 2(x−5)=9−3x+6+8+3x+7 \), we will go through each side separately.

Left Side:

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

Right Side:

Now, let's simplify the right side by combining like terms: \[ 9 - 3x + 6 + 8 + 3x + 7 \] First, combine the constant terms: \[ 9 + 6 + 8 + 7 = 30 \] Next, combine the \( -3x \) and \( 3x \): \[ -3x + 3x = 0 \] Putting this together, the right side simplifies to: \[ 0 + 30 = 30 \]

Responses:

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

So the final answers are:

• Simplify the left side of the equation: \( 2x - 10 \)
• Simplify the right side of the equation: \( 30 \)