What is the answer to x/((200+x))=0.08 ?

The answer to x/((200+x))=0.08 is x= 400/23

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x/((200+x))=0.08

\frac{x}{( 200 + x )} = 0.08

x = \frac{400}{23}

Decimal Notation

x = 17.39130 \dots

Solution steps

\frac{x}{( 200 + x )} = 0.08

Simplify

\frac{x}{( 200 + x )} : \frac{x}{200 + x}

\frac{x}{200 + x} = 0.08

Multiply both sides by

200 + x

x = 0.08 (200 + x)

Multiply both sides by

100

x \cdot 100 = 8 (200 + x)

Expand

8 (200 + x) : 1600 + 8 x

x \cdot 100 = 1600 + 8 x

Move

8 x

to the left side

92 x = 1600

Divide both sides by

92

x = \frac{400}{23}

Verify Solutions

Find undefined (singularity) points:

x = - 200

Combine undefined points with solutions:

x = \frac{400}{23}

\frac{x ^{2} - 6 x + 8}{x - 2} = 0

\frac{5}{13.1} = \frac{14.6}{x}

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

\frac{100}{x} = \frac{30}{26}

\frac{4}{5 x} = - 20

What is the answer to x/((200+x))=0.08 ?
The answer to x/((200+x))=0.08 is x= 400/23
Solve for x: x/((200+x))=0.08
The solution is x= 400/23