What is the answer to (x+4)/x =81 ?

The answer to (x+4)/x =81 is x= 1/20

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(x+4)/x =81

\frac{x + 4}{x} = 81

x = \frac{1}{20}

Decimal Notation

x = 0.05

Solution steps

\frac{x + 4}{x} = 81

Multiply both sides by

x

x + 4 = 81 x

Move

4

to the right side

x = 81 x - 4

Move

81 x

to the left side

- 80 x = - 4

Divide both sides by

- 80

x = \frac{1}{20}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{20}

\frac{x}{3} + \frac{5}{x - 5} = 0

\frac{8}{x} = 2 x

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

\frac{x - 3}{x + 1} = 0

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