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

The answer to 5/x-3/2 = 3/x is x= 4/3

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5/x-3/2 = 3/x

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

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

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

Multiply by LCM

10 - 3 x = 6

Move

10

to the right side

- 3 x = - 4

Divide both sides by

- 3

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{3}

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

\frac{5}{( x - 1 )} = 10

\frac{x + 1}{3 x - 2} = \frac{5 x - 4}{3 x + 2}

x + \frac{12}{x} = 8

y, x = \frac{6 y + 3}{y - 8}