Question:

How do you work out: 3x-5=x+3?

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three times X subtract five equals X plus three

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  1. 3x-5=x+3

    3x-5 (-x)=x+3 (-x)      subtract x from both sides

    2x-5=3

    2x-5 (+5)=3 (+5)       add 5 to both sides

    2x=8

    2x (/2)=8 (/2)              divide both sides by 2

    x=4


  2. 3x-5=x+3

       +5=+5

    3x=x+8

    -x = -x

    2x=8

    2(2x)=2(8)

    x=4

  3. minus the x so you get 2x-5=3

    add the 5 to both sides so you get 2x=8

    then divide by 2 so you get x=4

  4. Gather all the x's on one side of the '=' and all the integers on the other. The answer then becomes obvious.

  5. 3x-5=x+3

        +5    +5

    3x=x+8

    -x   -x

    2x=8

    divide by 2 on both sides

    x=4 ???

  6. subtract the three from each side

    that makes -5 now -8

    your problem is now: 3x-8=x

    now you subtract the 3x on each side

    now you have -8=-2x

    divide by -2 and x will equal 4

    youre welcome!

  7. Ah, balancing equations. The good old days.

    3x -5 = x+3

    Subtract x from both sides.

    2x -5 = 3

    Add 5 to both sides. Notice that on the left side you have -5, so that goes away.

    2x = 8

    8/2=4

    x=4

    Let's go backwards and check that.

    3x-5. 3x=12. 12-5=7

    x+3. x=4. 4+3=7

    Yep, the answer is 4.

  8. 3x-x=3+5

    2x=8

    x=8/2

    x=4

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