What is the answer to 3/x = 9/(8x)+3 ?

The answer to 3/x = 9/(8x)+3 is x= 5/8

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3/x = 9/(8x)+3

\frac{3}{x} = \frac{9}{8 x} + 3

x = \frac{5}{8}

Decimal Notation

x = 0.625

Solution steps

\frac{3}{x} = \frac{9}{8 x} + 3

Multiply by LCM

24 = 9 + 24 x

Switch sides

9 + 24 x = 24

Move

9

to the right side

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{3 x + 6}{x + 2} = 3

\frac{2 π}{b} = 4 π

x = \frac{13}{3 x - 1} - 3

876 = \frac{230}{v}

r, a = \frac{v ^{2}}{r}