What is the answer to 3/(7x)-5/x =3 ?

The answer to 3/(7x)-5/x =3 is x=-32/21

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3/(7x)-5/x =3

\frac{3}{7 x} - \frac{5}{x} = 3

x = - \frac{32}{21}

Decimal Notation

x = - 1.52380 \dots

Solution steps

\frac{3}{7 x} - \frac{5}{x} = 3

Multiply by LCM

- 32 = 21 x

Switch sides

21 x = - 32

Divide both sides by

21

x = - \frac{32}{21}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{32}{21}

\frac{( x - 3 )}{x} = 0

d + n = \frac{a}{5 r}

\frac{3 x ^{2}}{x + 1} - 1 = 0

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

\frac{8}{3 x - 4} = \frac{3}{x + 4}