Ask a New Question
Menu

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:

1 answer

To simplify the equation \( 2(x−5) = 9−3x+6+8+3x+7 \), we will start with the left side.

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

Right side: Combine like terms on the right: \[ 9 - 3x + 6 + 8 + 3x + 7 \] Combine the constants (9 + 6 + 8 + 7): \[ = 30 \] And the \( -3x + 3x \) cancels out to \( 0 \): \[ = 30 - 0 = 30 \]

So the simplified forms are:

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

Final Responses:

  • Simplified left side: \( 2x - 10 \)
  • Simplified right side: \( 30 \)