What is the answer to 3/x = 6/(5x)+1 ?

The answer to 3/x = 6/(5x)+1 is x= 9/5

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3/x = 6/(5x)+1

\frac{3}{x} = \frac{6}{5 x} + 1

x = \frac{9}{5}

Decimal Notation

x = 1.8

Solution steps

\frac{3}{x} = \frac{6}{5 x} + 1

Multiply by LCM

15 = 6 + 5 x

Switch sides

6 + 5 x = 15

Move

6

to the right side

5 x = 9

Divide both sides by

5

x = \frac{9}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{5}

\frac{1}{x} = 16 x

x = \frac{6 x - 8}{x}

\frac{t}{∣ t ∣} = 0

\frac{0.75}{2} = \frac{60}{x}

\frac{( 1 + x )}{( 1 - x )} = 1.9