What is the answer to 0.1=100*x/((x+2)) ?

The answer to 0.1=100*x/((x+2)) is x= 2/999

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0.1=100*x/((x+2))

0.1 = 100 \cdot \frac{x}{( x + 2 )}

x = \frac{2}{999}

Decimal Notation

x = 0.00200 \dots

Solution steps

0.1 = 100 \cdot \frac{x}{( x + 2 )}

Simplify

100 \cdot \frac{x}{x + 2} : \frac{100 x}{x + 2}

0.1 = \frac{100 x}{x + 2}

Multiply both sides by

x + 2

0.1 (x + 2) = 100 x

Multiply both sides by

10

x + 2 = 1000 x

Move

2

to the right side

x = 1000 x - 2

Move

1000 x

to the left side

- 999 x = - 2

Divide both sides by

- 999

x = \frac{2}{999}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{2}{999}

\frac{2}{5} = \frac{4}{x}

\frac{( 5 + 7 )}{x} = 24

\frac{x + 2}{6 x} = \frac{x - 2}{5 x}

\frac{a}{b - x} = \frac{b}{a - x}

\frac{2}{2 x + 1} = \frac{- 3}{7}

What is the answer to 0.1=100*x/((x+2)) ?
The answer to 0.1=100*x/((x+2)) is x= 2/999
Solve for x: 0.1=100*x/((x+2))
The solution is x= 2/999