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

The option "2 x minus 5" (3 of 6) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

A.2x-10
B.30
C.2x-5
D.30x
E.36x
F.6x+30

Answer 1

To simplify the left and right sides of the equation \( 2(x−5)=9−3x+6+8+3x+7 \):

1. Simplifying the left side: The left side is \( 2(x - 5) \). Using the Distributive Property: \[ 2(x - 5) = 2x - 10 \] So the response for the left side is A. \(2x - 10\).

2. Simplifying the right side: The right side is \( 9 - 3x + 6 + 8 + 3x + 7 \). We can combine the like terms: \[ 9 + 6 + 8 + 7 = 30 \quad \text{and} \quad -3x + 3x = 0 \] Hence, the right side simplifies to: \[ 30 \] So the response for the right side is B. \(30\).

Final answers:

• Left side: A. \(2x - 10\)
• Right side: B. \(30\)