What is the answer to 1/x = 3/x-1 ?

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

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1/x = 3/x-1

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

x = 2

Solution steps

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

Multiply both sides by

x

1 = 3 - x

Move

x

to the left side

1 + x = 3

Move

1

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

\frac{3}{2.3} = \frac{70000}{X}

\frac{3}{5} = \frac{7}{x}

\frac{27}{81} = \frac{3}{r}

\frac{8 x}{x - 3} - 3 = \frac{1}{x}

y, x = \frac{- y - 2}{y + 4}