Factorization of 2x-1 / 2x + X-2 / x = 2 2x-1 of 2x + X-2 of x = 2

Factorization of 2x-1 / 2x + X-2 / x = 2 2x-1 of 2x + X-2 of x = 2

It's a fractional equation
2x/(2x-1)+x/(x-2)=2
(2x-1+1)/(2x-1)+(x-2+2)/(x-2)=2
1+1/(2x-1)+1+2/(x-2)=2
1/(2x-1)+2/(x-2)=0
De denominator
x-2+2(2x-1)=0
It's time to tidy up
5x=4
x=4/5