What is the answer to 5=((500)/(500+x))100 ?

The answer to 5=((500)/(500+x))100 is x=9500

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5=((500)/(500+x))100

5 = (\frac{500}{500 + x}) 100

x = 9500

Solution steps

5 = (\frac{500}{500 + x}) \cdot 100

Simplify

(\frac{500}{500 + x}) \cdot 100 : \frac{50000}{500 + x}

5 = \frac{50000}{500 + x}

Multiply both sides by

500 + x

5 (500 + x) = 50000

Divide both sides by

5

500 + x = 10000

Move

500

to the right side

x = 9500

Verify Solutions

Find undefined (singularity) points:

x = - 500

Combine undefined points with solutions:

x = 9500

\frac{8 - 3 x}{4 x} + 1 = \frac{2}{x}

\frac{19 + x}{25 + x} = \frac{4}{5}

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

R = \frac{V}{I}

\frac{2 x - 6}{x - 3} = - 1

What is the answer to 5=((500)/(500+x))100 ?
The answer to 5=((500)/(500+x))100 is x=9500
Solve for x: 5=((500)/(500+x))100
The solution is x=9500