What is the answer to 0.36=(x+0.1(500))/(x+500) ?

The answer to 0.36=(x+0.1(500))/(x+500) is x= 1625/8

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0.36=(x+0.1(500))/(x+500)

0.36 = \frac{x + 0.1 ( 500 )}{x + 500}

x = \frac{1625}{8}

Decimal Notation

x = 203.125

Solution steps

0.36 = \frac{x + 0.1 ( 500 )}{x + 500}

Simplify

\frac{x + 0.1 ( 500 )}{x + 500} : \frac{x + 50}{x + 500}

0.36 = \frac{x + 50}{x + 500}

Multiply both sides by

x + 500

0.36 (x + 500) = x + 50

Multiply both sides by

100

36 (x + 500) = 100 x + 5000

Expand

36 (x + 500) : 36 x + 18000

36 x + 18000 = 100 x + 5000

Move

18000

to the right side

36 x = 100 x - 13000

Move

100 x

to the left side

- 64 x = - 13000

Divide both sides by

- 64

x = \frac{1625}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 500

Combine undefined points with solutions:

x = \frac{1625}{8}

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

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

\frac{4}{x} = \frac{6}{x}

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

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

What is the answer to 0.36=(x+0.1(500))/(x+500) ?
The answer to 0.36=(x+0.1(500))/(x+500) is x= 1625/8
Solve for x: 0.36=(x+0.1(500))/(x+500)
The solution is x= 1625/8