What is the answer to 5(x/(2900+x))=0.2 ?

The answer to 5(x/(2900+x))=0.2 is x= 725/6

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5(x/(2900+x))=0.2

5 (\frac{x}{2900 + x}) = 0.2

x = \frac{725}{6}

Decimal Notation

x = 120.83333 \dots

Solution steps

5 (\frac{x}{2900 + x}) = 0.2

Simplify

5 (\frac{x}{2900 + x}) : \frac{5 x}{2900 + x}

\frac{5 x}{2900 + x} = 0.2

Multiply both sides by

2900 + x

5 x = 0.2 (2900 + x)

Multiply both sides by

10

50 x = 2 (2900 + x)

Expand

2 (2900 + x) : 5800 + 2 x

50 x = 5800 + 2 x

Move

2 x

to the left side

48 x = 5800

Divide both sides by

48

x = \frac{725}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 2900

Combine undefined points with solutions:

x = \frac{725}{6}

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

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

\frac{18 x ^{2}}{x ^{4} + 81} = 1

x^{- 3} = \frac{1}{27}

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

What is the answer to 5(x/(2900+x))=0.2 ?
The answer to 5(x/(2900+x))=0.2 is x= 725/6
Solve for x: 5(x/(2900+x))=0.2
The solution is x= 725/6