What is the answer to 1/(6x)= 4/15 ?

The answer to 1/(6x)= 4/15 is x= 5/8

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1/(6x)= 4/15

\frac{1}{6 x} = \frac{4}{15}

x = \frac{5}{8}

Decimal Notation

x = 0.625

Solution steps

\frac{1}{6 x} = \frac{4}{15}

Cross multiply

15 = 24 x

Switch sides

24 x = 15

Divide both sides by

24

x = \frac{5}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{8}

\frac{A X + B}{X} = \frac{CX}{D}

\frac{750}{x - 750} = 2.083

(x) = \frac{1}{( x - 3 )}

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

\frac{x + 1}{3} = \frac{x + 5}{x}