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

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

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(3x-1)/x =1

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply both sides by

x

3 x - 1 = x

Move

1

to the right side

3 x = x + 1

Move

x

to the left side

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

x^{- 1} = 6

x^{- 1} = 0

1 + \frac{x}{x + 7} = - \frac{7}{x + 7}

x^{2} - 2 = \frac{6}{x ^{2} - 1}

\frac{x}{x - 5} + 4 = \frac{5}{x - 5}