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GMAT - Problem Solving - Algebra

If 1 + 1/x = 2 - 2/x, then x =

If 1 1/x = 2 - 2/x, then x = ?
 

1 + 1/x = 2 - 2/x

adding 2/x - 1 to both sides

1/x + 2/x = 2 - 1

3/x = 1

x = 3

1 + 1/x = 2 - 2/x

adding 2/x - 1 to both sides

1/x + 2/x = 2 - 1

3/x = 1

x = 3