What is the answer to 2+1/x =3+2/x ?

The answer to 2+1/x =3+2/x is x=-1

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2+1/x =3+2/x

2 + \frac{1}{x} = 3 + \frac{2}{x}

x = - 1

Solution steps

2 + \frac{1}{x} = 3 + \frac{2}{x}

Move

2

to the right side

\frac{1}{x} = \frac{2}{x} + 1

Multiply both sides by

x

1 = 2 + x

Switch sides

2 + x = 1

Move

2

to the right side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

x + \frac{1}{x} = 5

\frac{x ^{2} + 1}{x ^{2}} = 0

x^{- 3} - 9 x^{2} + 8 = 0

\frac{3 x - 2}{3 x + 1} = 3

T, f = \frac{1}{T}