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

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

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

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

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

Decimal Notation

x = 1.5, x = - 1

Solution steps

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

Cross multiply

x (2 x - 1) = 3

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

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

\frac{- 6}{x} = \frac{- 14}{x + 4}

- x^{- 2} = - 1

\frac{x - 1}{x + 1} = \frac{5}{11}

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

\frac{- 1}{6 x} + \frac{7}{6} = 1

What is the answer to x/3 = 1/(2x-1) ?
The answer to x/3 = 1/(2x-1) is x= 3/2 ,x=-1
Solve for x: x/3 = 1/(2x-1)
The solution is x= 3/2 ,x=-1