Hi, all. Could you please explain to me how this is done? I don't understand.

Example 1.Solve forx:Again, when solving an equation with fractions, the very next statement you write -- the next line -- should have

1

2x+ 1

x− 1= 1

2(x− 1)Solution. The LCM is 2x(x−1).Here is the cleared equation: x− 1 + 2x= x.Each numerator has been multiplied by those factors of the LCM that are missing from its denominator. The solution follows: 2 x= 1 x= 1

2nofractions.

Thanks.