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Math Help - I need help solving for x?

  1. #1
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    I need help solving for x?

    I have gotten to this point on my problem:

    (x-4)/(x-2)=4

    multiply both sides by (x-2):

    x-4=4(x-2)

    expand left side:

    x-4=4x-8

    add 8 to both sides:

    x+4=4x

    and here im stuck. Can i subtract an "x" from both sides to get an answer of 4/3? or do i have to subract 4 from both sides and divide by x?? im so confused
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  2. #2
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    Quote Originally Posted by nascar77 View Post
    I have gotten to this point on my problem:

    (x-4)/(x-2)=4

    multiply both sides by (x-2):

    x-4=4(x-2)

    expand left side:

    x-4=4x-8

    add 8 to both sides:

    x+4=4x

    and here im stuck. Can i subtract an "x" from both sides to get an answer of 4/3? Mr F says: Yes.

    or do i have to subract 4 from both sides and divide by x?? im so confused Mr F says: I don't know why you would think this. The answer is NO.
    ..
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  3. #3
    Super Member Bacterius's Avatar
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    Wellington
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    Remember that ab - ac = a(b - c) !

    In fact, combining like terms is basically doing a quick factorization, if you look close enough
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