9. 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)
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: Response area

Answer 1

To simplify the left and right sides of the given equation \( 2(x−5)=9−3x+6+8+3x+7 \), we can follow these steps:

Left Side:

1. Apply the Distributive Property: \[ 2(x - 5) = 2x - 10 \]

Right Side:

1. Combine like terms: \[ 9 - 3x + 6 + 8 + 3x + 7 \] First, combine the constant terms: \[ 9 + 6 + 8 + 7 = 30 \] Next, combine the \( x \) terms: \[ -3x + 3x = 0 \] So the right side simplifies to: \[ 30 \]

Putting it all together:

Simplified Left Side: \( 2x - 10 \)

Simplified Right Side: \( 30 \)