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Match the equation with the correct solution.(4 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. 3x−5=2x+10 4x−3=2x+5 7x−2=4x+13 6x+4=10x−8 x=15x=5x=3x=4

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Let's solve each equation step by step and match them to the correct solutions:

  1. Equation: \( 3x - 5 = 2x + 10 \)

    • Rearranging gives: \[ 3x - 2x = 10 + 5 \implies x = 15 \]

  2. Equation: \( 4x - 3 = 2x + 5 \)

    • Rearranging gives: \[ 4x - 2x = 5 + 3 \implies 2x = 8 \implies x = 4 \]

  3. Equation: \( 7x - 2 = 4x + 13 \)

    • Rearranging gives: \[ 7x - 4x = 13 + 2 \implies 3x = 15 \implies x = 5 \]

  4. Equation: \( 6x + 4 = 10x - 8 \)

    • Rearranging gives: \[ 6x - 10x = -8 - 4 \implies -4x = -12 \implies x = 3 \]

Now to match the equations with their respective solutions:

  • \( 3x - 5 = 2x + 10 \) → \( x = 15 \)
  • \( 4x - 3 = 2x + 5 \) → \( x = 4 \)
  • \( 7x - 2 = 4x + 13 \) → \( x = 5 \)
  • \( 6x + 4 = 10x - 8 \) → \( x = 3 \)

Here’s how the matches look:

  1. \( 3x-5=2x+10 \) → \( x = 15 \)
  2. \( 4x−3=2x+5 \) → \( x = 4 \)
  3. \( 7x−2=4x+13 \) → \( x = 5 \)
  4. \( 6x+4=10x−8 \) → \( x = 3 \)

Feel free to insert the solutions next to their corresponding equations as described!