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12 January, 20:16

How to solve this, (2x-1) / 4 + (x-1) / 5 = 2

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  1. 12 January, 20:25
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    It is a linear equation (ie., no x²), so solution should be possible.

    First, let's get rid of the brackets:

    2/4 x - 1/4 + 1/5 x - 1/5 = 2

    Next, lets change the denominator to 20, the least common multiple of 4 and 5:

    10/20 x - 5/20 + 4/20 x - 4/20 = 40/20

    Then simplify by taking the x terms together and the constant terms:

    14/20 x = 49/20 (now multiply by 20 to remove the denominator)

    14x = 49 (now divide left and right by 14)

    x = 49/14 (divide numerator and denominator by 7)

    x = 7/2

    Of course, there's any order in which you can perform these operations. They should all lead to the same answer.
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