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

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

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

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

x = 1

Solution steps

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

Multiply both sides by

x

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

Multiply both sides by

2

3 x - 1 = 2 x

Move

1

to the right side

3 x = 2 x + 1

Move

2 x

to the left side

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

\frac{m + 11}{m - 1} = \frac{12}{8}

f, r = \frac{f}{n + f}

\frac{6}{x - 1} = 5

\frac{2 π}{b} = \frac{3 π}{2}

\frac{z}{8} = \frac{5}{z - 6}