What is the answer to 3/x+2= 4/(5x) ?

The answer to 3/x+2= 4/(5x) is x=-11/10

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3/x+2= 4/(5x)

\frac{3}{x} + 2 = \frac{4}{5 x}

x = - \frac{11}{10}

Solution steps

\frac{3}{x} + 2 = \frac{4}{5 x}

Multiply by LCM

15 + 10 x = 4

Move

15

to the right side

10 x = - 11

Divide both sides by

10

x = - \frac{11}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{11}{10}

4 = b^{- 2}

\frac{3}{x - 6} = \frac{1}{x}

t, I = \frac{q}{t}

20 x - 9 = \frac{20}{x}

\frac{1}{x} = 0.4