What is the answer to 4/x-5=(18)/(2x) ?

The answer to 4/x-5=(18)/(2x) is x=-1

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4/x-5=(18)/(2x)

\frac{4}{x} - 5 = \frac{18}{2 x}

x = - 1

Solution steps

\frac{4}{x} - 5 = \frac{18}{2 x}

Simplify

\frac{18}{2 x} : \frac{9}{x}

\frac{4}{x} - 5 = \frac{9}{x}

Multiply both sides by

x

4 - 5 x = 9

Move

4

to the right side

- 5 x = 5

Divide both sides by

- 5

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{9}{15} = \frac{3}{x}

4 π = \frac{2 π}{x}

\frac{1}{q} = 0.05

\frac{3 x - 4}{3 - x} = 2

6 x^{- 2} + x^{- 1} = 1