Math

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Decide whether each equation has one solution, no solution, or infinitely many solutions.
2(x-3)=2x
A. One Solution
B. No solutions
C. Infinitely many solutions
Is the answer A?

  • Math -

    Can you show me how you came up with that answer? I like to see a person's though process. It helps me to assist you better.

  • Math -

    Well I did 2*x and 2*3=6
    2x-6=2x
    2*4-6=2
    2*4=8
    So wouldn't that be one solution.
    If that's not how to solve can you help me figure out how to do it?

  • Math -

    Okay you first step is first when you multiply it you will get

    2x-6=2x

    After this you are trying to get x by itself. What would you do?

  • Math -

    Um I don't know how to do that if you could please help me to figure it out.

  • Math -

    2x-6=2x
    2-2=0
    6-2=4
    x=4
    Would that be one solution.

  • Math -

    2x-6=2x

    Subtract 2x from both sides in order to get your x variables on 1 side

    2x-6=2x
    -2x -2x

    What you do to one side you must also do to the other. This leaves you with

    -6=0x

    Because it says 0x there is no solution

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