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 side of the equation \(2(x-5)\) using the Distributive Property, you multiply 2 by each term inside the parentheses:

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

For the right side of the equation \(9 - 3x + 6 + 8 + 3x + 7\), you can combine like terms:

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

So the right side simplifies to:

\[ 30 \]

Now, you can input the simplified responses:

Simplify the left side of the equation: \[ 2x - 10 \]

Simplify the right side of the equation: \[ 30 \]