What is the answer to x/((1-x))=44.83 ?

The answer to x/((1-x))=44.83 is x= 4483/4583

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x/((1-x))=44.83

\frac{x}{( 1 - x )} = 44.83

x = \frac{4483}{4583}

Decimal Notation

x = 0.97818 \dots

Solution steps

\frac{x}{( 1 - x )} = 44.83

Simplify

\frac{x}{( 1 - x )} : \frac{x}{1 - x}

\frac{x}{1 - x} = 44.83

Multiply both sides by

1 - x

x = 44.83 (1 - x)

Multiply both sides by

100

x \cdot 100 = 4483 (1 - x)

Expand

4483 (1 - x) : 4483 - 4483 x

x \cdot 100 = 4483 - 4483 x

Move

4483 x

to the left side

4583 x = 4483

Divide both sides by

4583

x = \frac{4483}{4583}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{4483}{4583}

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\frac{3}{4 x + 11} = \frac{2}{5 x - 2}

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

I, 1 0^{3} = \frac{I}{I o}

\frac{6}{x + 4} = \frac{4}{x - 7}

What is the answer to x/((1-x))=44.83 ?
The answer to x/((1-x))=44.83 is x= 4483/4583
Solve for x: x/((1-x))=44.83
The solution is x= 4483/4583