What is the answer to 0.5=((1-x))/((1-0.5x)) ?

The answer to 0.5=((1-x))/((1-0.5x)) is x=0.66666…

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0.5=((1-x))/((1-0.5x))

0.5 = \frac{( 1 - x )}{( 1 - 0.5 x )}

x = 0.66666 \dots

Solution steps

0.5 = \frac{( 1 - x )}{( 1 - 0.5 x )}

Simplify

\frac{( 1 - x )}{( 1 - 0.5 x )} : \frac{1 - x}{1 - 0.5 x}

0.5 = \frac{1 - x}{1 - 0.5 x}

Multiply both sides by

1 - 0.5 x

0.5 (1 - 0.5 x) = 1 - x

Expand

0.5 (1 - 0.5 x) : 0.5 - 0.25 x

0.5 - 0.25 x = 1 - x

Move

0.5

to the right side

- 0.25 x = - x + 0.5

Move

x

to the left side

0.75 x = 0.5

Divide both sides by

0.75

x = 0.66666 \dots

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0.66666 \dots

4 + (\frac{1}{x} - 2) = 40

x^{- 2} - 9 x^{- 1} + 20 = 0

\frac{( 4.3 x + 89.904 )}{50 + x} = 3

\frac{x - 5}{x - 1} = \frac{- 3}{x}

\frac{3}{x ^{2}} = 0

What is the answer to 0.5=((1-x))/((1-0.5x)) ?
The answer to 0.5=((1-x))/((1-0.5x)) is x=0.66666…
Solve for x: 0.5=((1-x))/((1-0.5x))
The solution is x=0.66666…