Solution for Problem 1.1.6

 
Solve for x:  
Multiply both sides by LCD, (x + 1)(x - 1)

2(x – 1) – 1(x + 1) = 2x

Distribute
             2x – 2 – x – 1 = 2x Combine Like Terms

                      x – 3 = 2x

 Subtract x
                                -3 = x
                                 x = -3		 Done

Check 

If x = -3, then