What is the answer to 1/x = 2/((3x-1)) ?

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

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1/x = 2/((3x-1))

\frac{1}{x} = \frac{2}{( 3 x - 1 )}

x = 1

Solution steps

\frac{1}{x} = \frac{2}{( 3 x - 1 )}

Cross multiply

3 x - 1 = x \cdot 2

Move

1

to the right side

3 x = x \cdot 2 + 1

Move

x 2

to the left side

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{1}{3}

Combine undefined points with solutions:

x = 1

\frac{2}{n} + 3 (2 - 4)^{2} = 16

a, c = \frac{2 ab}{a + b}

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

3 x^{- 2} - 19 x^{- 1} + 20 = 0

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