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

The answer to 2.5= x/(1-x) is x= 5/7

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2.5= x/(1-x)

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

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

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

Multiply both sides by

1 - x

2.5 (1 - x) = x

Multiply both sides by

10

25 (1 - x) = x \cdot 10

Expand

25 (1 - x) : 25 - 25 x

25 - 25 x = x \cdot 10

Move

25

to the right side

- 25 x = x \cdot 10 - 25

Move

x 10

to the left side

- 35 x = - 25

Divide both sides by

- 35

x = \frac{5}{7}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{5}{7}

\frac{4}{3 + x} = 0

(\frac{1}{( t - 2 )}) = \frac{t}{8}

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

\frac{3}{a} = 42

\frac{x - 2}{x} = \frac{1}{2}