How do you solve $x/(x-2) - 2/(x-2)= - 2$ ?

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Answer 1 · 2016-02-13T22:58:16

No solution

$x/(x-2)-2/(x-2)=-2$

$(x-2)/(x-2)=-2$

$1=2$

No solution

Let's take other way:

$x/(x-2)-2/(x-2)=-2$

Multiplying everithing by (x-2) , but taking in acount that #x!=2):

$x-2=2(x-2)$

$x-2=2x-4)$

$-x=-2$

$x=2$ , which is not valid, beacuse when we multiplied by x-2 excluded 2 as solution.

How do you solve x/(x-2) - 2/(x-2)= - 2 x/(x-2) - 2/(x-2)= - 2?