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: Response area

Answer 1

Let's simplify both sides of the equation step by step.

Left Side:
The left side of the equation is:
\[ 2(x - 5) \]
Using the Distributive Property, we can simplify it:
\[ 2 \cdot x - 2 \cdot 5 = 2x - 10 \]

Right Side:
The right side of the equation is:
\[ 9 - 3x + 6 + 8 + 3x + 7 \]
To simplify, we need to combine like terms.

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

So, the simplified right side is:
\[ 30 \]

Here are the simplified forms for both sides:

Left Side Simplification:
\[ 2x - 10 \]

Right Side Simplification:
\[ 30 \]