What is the answer to 3/2 =(13)/x-2/3 ?

The answer to 3/2 =(13)/x-2/3 is x=6

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3/2 =(13)/x-2/3

\frac{3}{2} = \frac{13}{x} - \frac{2}{3}

x = 6

Solution steps

\frac{3}{2} = \frac{13}{x} - \frac{2}{3}

Multiply by LCM

9 x = 78 - 4 x

Move

4 x

to the left side

13 x = 78

Divide both sides by

13

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

\frac{5}{4 x + 3} = \frac{5}{4 x} + \frac{5}{3}

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

\frac{2}{5 x} + \frac{x + 1}{x} = 2

\frac{4}{x + 8} = \frac{6}{x}

x - \frac{7}{x + 9} = \frac{3 x}{x + 9}