What is the answer to 5/x =(20)/x+3 ?

The answer to 5/x =(20)/x+3 is x=-5

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5/x =(20)/x+3

\frac{5}{x} = \frac{20}{x} + 3

x = - 5

Solution steps

\frac{5}{x} = \frac{20}{x} + 3

Multiply both sides by

x

5 = 20 + 3 x

Switch sides

20 + 3 x = 5

Move

20

to the right side

3 x = - 15

Divide both sides by

3

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

1.1 = 2 - \frac{1}{x}

\frac{5}{3} = \frac{10}{x}

x, y = \frac{4}{x}

\frac{10000}{x} + 1 = 3.3

\frac{1.5}{x} = \frac{1}{120}