What is the answer to (3x-1)/x = 5/2 ?

The answer to (3x-1)/x = 5/2 is x=2

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(3x-1)/x = 5/2

\frac{3 x - 1}{x} = \frac{5}{2}

x = 2

Solution steps

\frac{3 x - 1}{x} = \frac{5}{2}

Cross multiply

6 x - 2 = x \cdot 5

Move

2

to the right side

6 x = x \cdot 5 + 2

Move

x 5

to the left side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 6

0.02 = \frac{1}{x}

\frac{13 x}{2 x ^{2} - 7} = 1

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

\frac{8 x}{( x ^{2} + 1 ) ^{2}} = 0