What is the answer to 2.5= 1/(1-x) ?

The answer to 2.5= 1/(1-x) is x=0.6

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2.5= 1/(1-x)

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

x = 0.6

Solution steps

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

Multiply both sides by

1 - x

2.5 (1 - x) = 1

Divide both sides by

2.5

1 - x = 0.4

Move

1

to the right side

- x = - 0.6

Divide both sides by

- 1

x = 0.6

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 0.6

\frac{12}{x} = \frac{2}{18}

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

7 x^{- 2} + 3 x - 10 = 0

\frac{2 x}{x + 2} = - \frac{6}{x + 4}

\frac{18 - 7 x}{x} = x